View source for 13 (number)

{{Other uses|13 (disambiguation){{!}}13}}
{{Use mdy dates|date = February 2012}}
{{pp-semi-indef}}
{{Infobox number
|number = 13
|numeral = [[Base 13|tredecimal]]
|factorization = [[Prime number|prime]]
|prime = 6th
|divisor = 1, 13
|lang1=[[Hebrew numerals|Hebrew numeral]]|lang1 symbol=<span style="font-size:150%;">י"ג</span>|lang2=[[Babylonian cuneiform numerals|Babylonian numeral]]|lang2 symbol=𒌋𒐗}}
'''13''' ('''thirteen''') is the [[natural number]] following [[12 (number)|12]] and preceding [[14 (number)|14]].

Folklore surrounding the number 13 appears in many cultures around the world: one theory is that this is due to the cultures employing lunar-solar calendars (there are approximately 12.41 lunations per solar year, and hence 12 "true months" plus a smaller, and often portentous, thirteenth month). This can be witnessed, for example, in the "Twelve Days of Christmas" of Western European tradition.<ref>Frazier, King of the Bean, and the Festival of Fools. Cited in Thompson, Tok. 2002. [http://sms.zrc-sazu.si/En/SMS5/Thompson5.html The thirteenth number: Then, there/ here and now.] ''Studia Mythological Slavica'' '''5''', 145–159.</ref>

==In mathematics==
The number 13 is a [[prime number]], [[happy number]]<ref>{{cite web |title=Sloane's A007770 : Happy numbers |url=https://oeis.org/A007770 |access-date=2016-06-01 |website=The On-Line Encyclopedia of Integer Sequences |publisher=OEIS Foundation}}</ref> and a [[lucky number]].<ref>{{cite web |title=A000959 Lucky numbers. (Formerly M2616 N1035) |url=https://oeis.org/A000959 |access-date=2018-10-31 |website=OEIS: The On-Line Encyclopedia of Integer Sequences |publisher=OEIS Foundation}}</ref> It is a [[twin prime]] with [[11 (number)|11]], as well as a [[cousin prime]] with [[17 (number)|17]]. It is the second of only 3 [[Wilson prime|Wilson primes]]: 5, 13, and [[563 (number)|563]].<ref>{{Cite OEIS|A007540|wilson primes}}</ref> A 13-sided [[regular polygon]] is called a [[tridecagon]].

=== List of basic calculations ===
{| class="wikitable" style="text-align: center; background: white"
|-
! style="width:105px;"|[[Multiplication]]
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
!25
!50
!100
!1000
|-
|'''(13)''x'''''
|'''13'''
|[[26 (number)|26]]
|[[39 (number)|39]]
|[[52 (number)|52]]
|[[65 (number)|65]]
|[[78 (number)|78]]
|[[91 (number)|91]]
|[[104 (number)|104]]
|[[117 (number)|117]]
|[[130 (number)|130]]
|[[143 (number)|143]]
|[[156 (number)|156]]
|[[169 (number)|169]]
|[[182 (number)|182]]
|[[195 (number)|195]]
|[[208 (number)|208]]
|[[221 (number)|221]]
|[[234 (number)|234]]
|[[247 (number)|247]]
|[[260 (number)|260]]
|[[273 (number)|273]]
|[[286 (number)|286]]
|[[299 (number)|299]]
|[[312 (number)|312]]
|[[325 (number)|325]]
|[[650 (number)|650]]
|[[1300 (number)|1300]]
|13000
|}

{|class="wikitable" style="text-align: center; background: white"
|-
! style="width:105px;"|[[Division (mathematics)|Division]]
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|'''13 ÷ ''x'''''
|'''13'''
|6.5
|4.{{overline|3}}
|3.25
|2.6
|2.1{{overline|6}}
|1.{{overline|857142}}
|1.625
|1.{{overline|4}}
|1.3
|1.{{overline|18}}
|1.08{{overline|3}}
|1
|0.9{{overline|285714}}
|0.8{{overline|6}}
|-
|'''''x'' ÷ 13'''
|0.{{overline|076923}}
|0.{{overline|153846}}
|0.{{overline|230769}}
|0.{{overline|307692}}
|0.{{overline|384615}}
|0.{{overline|461538}}
|0.{{overline|538461}}
|0.{{overline|615384}}
|0.{{overline|692307}}
|0.{{overline|769230}}
|0.{{overline|846153}}
|0.{{overline|923076}}
|1
|1.{{overline|076923}}
|1.{{overline|153846}}
|}

{|class="wikitable" style="text-align: center; background: white"
|-
! style="width:105px;"|[[Exponentiation]]
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
|-
|'''13{{sup|''x''}}'''
|'''13'''
|169
|2197
|28561
|371293
|4826809
|62748517
|815730721
|10604499373
|137858491849
|1792160394037
|-
|'''''x''{{sup|13}}'''
|1
|8192
|1594323
|67108864
|1220703125
|13060694016
|96889010407
|549755813888
|2541865828329
|10000000000000
|34522712143931
|}

==In languages==
===Grammar===

* In all [[Germanic languages]], 13 is the first [[Compound (linguistics)|compound]] number; the numbers 11 and 12 have their own names.
* The [[Romance languages]] use different systems: In Italian, 11 is the first compound number ({{Lang|it|undici}}), as in Romanian (''{{Lang|ro|unsprezece}}''), while in Spanish and Portuguese, the numbers up to and including 15 (Spanish {{Lang|es|quince}}, Portuguese ''{{Lang|pt|quinze}}''), and in French and Italian up to and including 16 (French ''{{Lang|fr|seize}}'', Italian ''{{Lang|it|sedici}}'') have their own names. This is also the case in most [[Slavic languages]], Hindi-Urdu and other South Asian languages.{{Example needed|date=December 2018}}

==== Folklore ====
In Germany, according to an old tradition, 13 ({{Lang|de|dreizehn}}), as the first compound number, was the first number written in digits; the numbers 0 (''{{Lang|de|null}}'') through 12 (''{{Lang|de|zwölf}}'') were spelled out. The ''Duden'' (the German standard dictionary) now calls this tradition (which was actually never written down as an official rule) outdated and no longer valid, but many writers still follow it.<ref>{{Cite web|url=https://www.duden.de/sprachwissen/sprachratgeber/Schreibung-von-Zahlen-0|title=Duden {{!}} Schreibung von Zahlen bis 12|website=www.duden.de|language=de|access-date=2020-03-23}}</ref>

=== In English ===
Thirteen is one of two numbers within the ''teen'' numerical range (13–19), along with fifteen, not derived by [[cardinal numeral]] (three) and the ''teen'' suffix; instead, it is derived from the [[ordinal numeral]] (third).{{source?|date=October 2025}}

==In religion==
=== Islam ===
In [[Shia Islam|Shia]], 13 signifies the [[13 Rajab|13th day]] of the month of [[Rajab]] (the Lunar calendar), which is the birth of Imam [[Ali]].

===Catholicism===
In Catholic devotional practice, the number thirteen is also associated with Saint [[Anthony of Padua]], since his feast day falls on June 13. A traditional devotion called the Thirteen Tuesdays of St. Anthony<ref>{{cite web|url=http://www.shrineofstanthony.org/novena-to-st-anthony.htm|title=The Shrine of St. Anthony|website=shrineofstanthony.org}}</ref> involves praying to the saint every Tuesday over a period of thirteen weeks. Another devotion, St. Anthony's Chaplet, consists of thirteen decades of three beads each.<ref>{{cite web|url=http://www.catholicculture.org/culture/liturgicalyear/prayers/view.cfm?id=1236|title=Liturgical Year: Prayers: Chaplet of St. Anthony|website=catholicculture.org}}</ref>

===Sikhism===
According to famous [[Sakhi]] (evidence) or the story of [[Guru Nanak Dev Ji]], when he was an accountant at a town of [[Sultanpur Lodhi]], he was distributing groceries to people. When he gave groceries to the 13th person, he stopped because in [[Gurmukhi]] and Hindi the word 13 is called terah, which means yours. And Guru Nanak Dev Ji kept saying, "Yours, yours, yours..." remembering God. People reported to the emperor that Guru Nanak Dev Ji was giving out free food to the people. When treasures were checked, there was more money than before.

===Judaism===
* In Judaism, 13 signifies the age at which a boy matures and becomes a Bar Mitzvah, ''i.e.'', a full member of the Jewish faith (counts as a member of Minyan).

===Wicca===
A common tradition in the religion [[Wicca]] holds that the number of members for a [[coven]] is ideally thirteen, though this tradition is not universal.<ref>{{cite book|author=Raymond Buckland|title=Buckland's Complete Book of Witchcraft|publisher=[[Llewellyn Worldwide|Llewellyn]]|year=1986|location=St. Paul, MN|url=https://books.google.com/books?id=fr0pse0LBK0C|pages=17–18–53|isbn=9780875420509 |access-date=2022-02-17}}</ref>

== Luck ==
===Bad===
{{Further|Triskaidekaphobia}}
{{Multiple image
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| width = 250
| image1 = Many buttons (4187599550).jpg
| image2 = 
| footer = This elevator skips the number 13 and jumps from floor 12 to 14. The thirteenth floor continues to physically exist, but is now represented by the numerical symbols for the number 14.
| align = 
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}}
The number 13 is considered an unlucky number in some countries.<ref name="about1">{{cite web|url=http://urbanlegends.about.com/cs/historical/a/friday_the_13th.htm|title=Why Is Friday the 13th Unlucky? - History and Folklore|first=David|last=Emery|work=About.com Entertainment|access-date=August 1, 2011|archive-date=January 16, 2017|archive-url=https://web.archive.org/web/20170116161555/http://urbanlegends.about.com/cs/historical/a/friday_the_13th.htm|url-status=dead}}</ref> The end of the Mayan calendar's 13th Baktun was superstitiously feared as a harbinger of the apocalyptic [[2012 phenomenon]].<ref name="USA Today">{{cite news| url=https://www.usatoday.com/tech/science/discoveries/story/2011-11-24/mexico-apocalypse-2012-mayans/51387348/1 | work=USA Today | title=Most Popular E-mail Newsletter | date=November 24, 2011}}</ref> Fear of the number 13 has a specifically recognized [[phobia]], triskaidekaphobia, a word first recorded in 1911.<ref>{{Cite OED|triskaidekaphobia}}</ref> The superstitious sufferers of triskaidekaphobia try to avoid bad luck by keeping away from anything numbered or labelled thirteen. As a result, companies and manufacturers use another way of numbering or labelling to avoid the number, with hotels and tall buildings being conspicuous examples ([[thirteenth floor]]).<ref name="Fleischman">{{cite news |last=Fleischman |first =Sid |title=The 13th Floor: A Ghost Story |url=https://www.washingtonpost.com/wp-dyn/content/article/2007/08/18/AR2007081800890.html |newspaper=The Washington Post |access-date=July 26, 2008 |date=August 19, 2007}}</ref> It is also considered unlucky to have thirteen guests at a table. [[Friday the 13th]] has been considered an unlucky day.<ref name="about1"/>

There are a number of theories as to why the number thirteen became associated with bad luck, but none of them have been accepted as likely.<ref name="about1"/>
;The Last Supper: Jesus Christ's [[Last Supper]], there were thirteen people around the table, counting Christ and the twelve apostles. Some believe this is unlucky because one of those thirteen, [[Judas Iscariot]], was the betrayer of Jesus Christ. From the 1890s, a number of English language sources relate the "unlucky" thirteen to an idea that at the Last Supper, Judas, the [[Disciple (Christianity)|disciple]] who betrayed [[Jesus]], was the 13th to sit at the table.<ref>Cecil Adams (1992-11-06). [http://www.straightdope.com/columns/read/670/why-is-the-number-13-considered-unlucky "Why is the number 13 considered unlucky?"]. The Straight Dope. Retrieved 2011-05-13.</ref>
;Knights Templar: On Friday, 13 October 1307, King [[Philip IV of France]] ordered the arrest of the [[Knights Templar]],<ref name="about1"/> and most of the knights were tortured and killed.
;Full moons: A year with 13 full moons instead of 12 posed problems for the monks in charge of the calendars. "This was considered a very unfortunate circumstance, especially by the monks who had charge of the calendar of thirteen months for that year, and it upset the regular arrangement of church festivals. For this reason, thirteen came to be considered an unlucky number."<ref>{{cite web|url=http://www.space.com/9566-strange-story-sunday-blue-moon.html|title=The Really Strange Story Behind Sunday's Blue Moon|work=Space.com|date=November 19, 2010}}</ref> However, a typical century has about 37 years that have 13 full moons, compared to 63 years with 12 full moons, and typically every third or fourth year has 13 full moons.<ref>{{cite web |last=Cooley |first=Keith |url=http://home.hiwaay.net/~krcool/Astro/moon/fullmoonU.htm |title=Full Moons 1900-2100 |date=2008 |publisher=Johns Hopkins University Applied Physics Laboratory |access-date=August 1, 2011 |archive-date=June 24, 2011 |archive-url=https://web.archive.org/web/20110624071327/http://home.hiwaay.net/~krcool/Astro/moon/fullmoonU.htm |url-status=dead }}</ref>
;A suppressed lunar cult: In ancient cultures, the number 13 represented femininity, because it corresponded to the number of lunar (menstrual) cycles in a year ({{math|13 &times; 28 {{=}} 364 days}}). The theory is that, as the solar calendar triumphed over the lunar, the number thirteen became anathema.<ref name="about1"/><ref>Stan Gooch, Guardians of the Ancient Wisdom (1980)</ref>
;Hammurabi's code: There is a myth that the earliest reference to thirteen being unlucky or evil is in the Babylonian [[Code of Hammurabi]] (circa 1780 BC), where the thirteenth law is said to be omitted. In fact, the original Code of Hammurabi has no numeration. The translation by L.W. King (1910), edited by Richard Hooker, omitted one article: If the seller have gone to (his) fate (i. e., have died), the purchaser shall recover damages in said case fivefold from the estate of the seller. Other translations of the Code of Hammurabi, for example the translation by Robert Francis Harper, include the 13th article.<ref>[[wikisource:The Code of Hammurabi (Harper translation)|The Code of Hammurabi (Harper translation)]]</ref>

===Good===
{{See also|Lucky Thirteen (disambiguation)}}
[[File:Taylor Swift (6820736052).jpg|thumb|right|Singer [[Taylor Swift]] considers the number 13 to be lucky & references it throughout her work<ref>{{cite web |url=https://www.yahoo.com/entertainment/why-taylor-swift-loves-number-235859466.html |title=The full history of Taylor Swift and her 'lucky number' 13 |publisher=Yahoo|access-date=August 11, 2025}}</ref>]]
*France: 13 was traditionally considered a lucky number in France prior to the First World War, and was used in numerical form as a good luck symbol on postcards and charms.<ref>{{cite book |last1=Owen |first1=Davies |title=A Supernatural War: Magic, Divination, and Faith During the First World War |date=2018 |location=Oxford|publisher=Oxford University Press |isbn=9780198794554 |page=136}}</ref>
*Italy: 13 was the lucky number in the Italian [[football pools]] (''Totocalcio''). The Italian expression {{Lang|it|"fare tredici"}} (literally, "make thirteen") means to hit the jackpot.<ref>{{cite web |title=Tredici: Definizione e significato di tredici |url=https://dizionari.corriere.it/dizionario_italiano/T/tredici.shtml |website=dizionari.corriere.it |series=Dizionario di Italiano il Sabatini Coletti |archive-url=https://web.archive.org/web/20190622091617/https://dizionari.corriere.it/dizionario_italiano/T/tredici.shtml |archive-date=22 June 2019 |language=it}}</ref>
*United States: [[Colgate University]] also considers 13 a lucky number. They were founded in 1819 by 13 men with 13 dollars, 13 prayers and 13 articles.<ref name="history-traditions">{{cite web|url=http://www.colgate.edu/DesktopDefault1.aspx?tabid=497&pgID=1200|title=Colgate: History & Traditions|publisher=Colgate University|access-date=September 1, 2007| archive-url= https://web.archive.org/web/20070814204636/http://www.colgate.edu/DesktopDefault1.aspx?tabid=497&pgID=1200| archive-date= August 14, 2007 <!--Added by DASHBot-->}}</ref> (To this day, members of the Colgate community consider the number 13 a good omen.) In fact, the campus address is 13 Oak Drive in [[Hamilton, New York]], and the male ''a cappella'' group is called the Colgate 13.

===Other===
A [[baker's dozen]], devil's dozen,<ref>{{Cite web |title=Definition of DEVIL'S DOZEN |url=https://www.merriam-webster.com/dictionary/devil%27s+dozen |access-date=2022-05-09 |website=www.merriam-webster.com |language=en}}</ref> long dozen, or long measure is 13, one more than a standard dozen. The thirteenth loaf is called the [[vantage loaf]] because it is considered advantageous overall to get 13 loaves for the price of 12.<ref>{{cite book |date=2011 |chapter=Vantage loaf |chapter-url=https://www.oxfordreference.com/view/10.1093/acref/9780199829941.001.0001/acref-9780199829941-e-49852 |title=Green's Dictionary of Slang |publisher=Oxford University Press |isbn=978-0-19-982994-1 |access-date=22 July 2020}}</ref>

In a tarot card deck, XIII is the card of Death, usually picturing [[Four Horsemen of the Apocalypse#Pale Horse|the Pale Horse]] with its rider.

==Age 13==
*In Judaism, thirteen signifies the age at which a boy matures and becomes a [[Bar and Bat Mitzvah|Bar Mitzvah]], ''i.e.'', a full member of the Jewish faith.<ref>"Origins of the Bar/Bat Mitzvah". ''ReformJudaism.org''. October 19, 2012. “Today in almost all non-Orthodox congregations, all children mark symbolic entry into Jewish adulthood through b'nai mitzvah (bar or bat mitzvah) at age 13.”</ref>
*Thirteen is the minimum [[age of consent]] in [[Argentina]], [[Burkina Faso]], [[Niger]], and two [[Mexico|Mexican]] states.
*On many [[social media]] platforms in the [[United States]], 13 is the standard minimum age to be allowed to create an account in compliance with the [[Children's Online Privacy Protection Act]] (COPPA).
*This is the age at which the [[Entertainment Software Rating Board]] (ESRB) assesses for T-rated games and the [[Motion Picture Association]] recommends movies with a PG-13 rating.

== History ==
{{Improve|reason=This coverage of 13 in American heraldry must be shortened. It should be treated as no more or less important than the religious content. All of this non-math content must be strictly focused on the meaning of the number to these groups.|date=January 2025}}
[[File:Great Seal of the United States (obverse).svg|thumb|The [[Great Seal of the United States]] features several groupings which consist of 13 things of the same type e.g. 13 olive leaves, 13 stars, 13 arrows.]]
*The United States of America was created from [[Thirteen Colonies|thirteen British colonies]] and as such, the number thirteen is a commonly recurring motif in [[United States heraldry|American heraldry]]. For example, there are thirteen stars on the [[Great Seal of the United States]] and there are thirteen stripes on the [[Flag of the United States|American flag]] as well as thirteen rays on the [[Flag of Arizona]].
**The first flag of the United States bore thirteen stripes, alternating red and white, and thirteen white stars in the blue union. The thirteen stripes represented the [[Thirteen Colonies]] from which the United States was created, and the thirteen stars represented the number of states in the new nation.  When two new states were added to the Union in 1795, the flag bore fifteen stars and fifteen stripes.  With the addition of five new states in 1818, the number of stripes was re-set and permanently fixed at thirteen.
**The [[Great Seal of the United States]] bears many images of the number thirteen, representing the [[Thirteen Colonies]] from which the United States was created.  On the Seal's obverse, the overhead glory bears thirteen stars. The chest shield in front of the spread eagle bears thirteen stripes (seven white and six red). The eagle's right talon holds the Olive Branch of Peace, bearing thirteen olives and thirteen olive leaves. The eagle's left talon holds the Weapons of War, consisting of thirteen arrows. The eagle's mouth holds a scroll bearing the national motto "E Pluribus Unum" (which, by coincidence, consists of thirteen letters).  On the Seal's reverse, the unfinished pyramid consists of thirteen levels.

==In sports==
{{Improve|reason=A lot of the content of this section really belongs under the luck section.|date=January 2025}}
* The number 13 was not used in the [[Indianapolis 500]] from 1915 to 2002. It was not permitted for use between 1926 and 2002. In 2009, [[E. J. Viso]], driving for [[HVM Racing]] in the [[2009 IndyCar Series]] season, drove a green number 13 car full-time, despite terrible [[superstitions]] about it in motorsports.
* The number 13 was not used in [[Formula One]] from 1977 to 2013.
* In [[rugby league]]:
** The jersey number 13 is worn by the starting loose forward or lock forward in most competitions. An exception is in the [[Super League]], which uses static squad numbering.
* In [[rugby union]], the jersey number 13 is worn by the [[Rugby union positions|outside centre]].
* In [[triathlon]], the number 13 is not used. As such, the numbering goes 11, 12, ''14'', 15 under the current numbering system.
* In [[cycle sport]] events like the [[Tour de France]], riders assigned the number 13 will often wear their [[competition number|race bib]] upside down.

==References==
{{Commons category}}
{{Reflist}} 

{{Integers|zero}}
{{Superstitions}}
{{Authority control}}

[[Category:Integers]]
[[Category:Numerology]]
[[Category:Superstitions about numbers]]
[[Category:13 (number)| ]]