What is the factorial of 1013?


1013 Factorial

Here we will show you how to calculate the factorial of 1013 (aka 1013 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 1013 can be written as 1013 followed by an exclamation mark like this: 1013!

Factorial of 1013 means that you multiply 1013 by every number below it. Therefore, you calculate the factorial of 1013 by multiplying 1013 by 1012, then by 1011, and so on all the way down to 1. In other words, we calculate 1013 × 1012 × 1011 × ... × 1 to get 1013 factorial.


The answer to 1013 factorial (1013!) contains 2607 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 1013 factorial:

4.4054306154 × 102606

The answer above is also sometimes written as 4.4054306154e+2606. Regardless, it means that the approximate answer to 1013! is 44054306154 followed by 2596 more digits.


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Like we promised, below is the exact answer to 1013 factorial (1013!) with all 2607 digits:

440543061540827719368683076066697508632163253719825492242266626458544045024910445641147839176464486850700589952860265353571084387906361247208024228225377698162228815084076466709688145308181819730780993501125417942630536059702164189619481718315671563397296776504058718491388901012222776006926341778499676691716311551271821865407749089443404618581788334171421261630091787949905707688838831938098120549834374753004347567014377916802037977572600828877092135955245272112060773460260457548587519231332605233600548929245358815717102034333087031546207740630027280266487066985143269959735642422343862126880748947266087203001898635746850133015844042857070581024028484566794222803451810102521954608767530560114625830060333359760501615235223979772911464445725894008254976541279681774852145601040800310340140326917398496178387183833059795829605327303193841536742549693520058103512513723634739086573603399324203496912006156305476191883345122892921778209802935759598213205907659694536661869100536866174345400817550228811680568142909939973562631995271486537784083014603427670610471169109245815806238930674000280119078316348188614607698833624752733310172667441715537491069894521709315357790463828213697900874155110014112405026157245392764738930388241454507478925028171452700111611852968752369416992885120074721405587886606864614483094928582824054447808117581190878502652072415881893174072065608181697822096699745530872589398938969920067691580202389546498824227636287894519570768323483490905682985904334535744008025750150310582571754579814528287832391299837837006235420374106655913168286550513979985859407305532766720038511954314143755381022587441941253741473872562051921538869971712718384574565637701061378779263271785606855249307196895037329546565679628994479491048001477236308194399678836836107216008751776905111319055321883682450169491806321823485230340567844119811085769792231172763524763363079648239037345597155856732309092669008188498441929130347342376494035822986934769076020584247206842104477457516561058685719109541808509814004391238661331288009019320122718316141474549541694233437051613861322428365407083282368854498221210678141182781428737044081921887687442656217446632528692962339348193166611893019334407257412411933323780438292365370328496066155258425428735298297427728309063319410444194824846744416619873752153618394220330753063981557728944713134802917235097600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000


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