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131312112022113 = 31123615113554699
BaseRepresentation
bin11101110110110101111011…
…110010101011001001100001
3122012221022111212021012210120
4131312311323302223021201
5114202404201134201423
61143135541304150453
736441662355653031
oct3566657362531141
9565838455235716
10131312112022113
1138927176a33950
1212889200768429
1358368a9aa69c9
14245d77c1a58c1
15102aae19baee3
hex776d7bcab261

131312112022113 has 64 divisors (see below), whose sum is σ = 202611017779200. Its totient is φ = 74860267046400.

The previous prime is 131312112022109. The next prime is 131312112022121. The reversal of 131312112022113 is 311220211213131.

It is not a de Polignac number, because 131312112022113 - 22 = 131312112022109 is a prime.

It is a super-3 number, since 3×1313121120221133 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131312112022213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236449438 + ... + 237004136.

It is an arithmetic number, because the mean of its divisors is an integer number (3165797152800).

Almost surely, 2131312112022113 is an apocalyptic number.

It is an amenable number.

131312112022113 is a deficient number, since it is larger than the sum of its proper divisors (71298905757087).

131312112022113 is a wasteful number, since it uses less digits than its factorization.

131312112022113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559910.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131312112022113 its reverse (311220211213131), we get a palindrome (442532323235244).

The spelling of 131312112022113 in words is "one hundred thirty-one trillion, three hundred twelve billion, one hundred twelve million, twenty-two thousand, one hundred thirteen".

Divisors: 1 3 11 23 33 61 69 183 253 671 759 1403 2013 4209 5113 15339 15433 46299 56243 117599 168729 311893 352797 554699 935679 1293589 1664097 3430823 3880767 6101689 7173539 10292469 12758077 18305067 21520617 33836639 38274231 78908929 101509917 140338847 236726787 372203029 421016541 778242697 1116609087 2334728091 2836175987 8508527961 8560669667 25682009001 31197935857 65232047701 93593807571 173006735207 195696143103 519020205621 717552524711 1903074087277 2152657574133 3979154909761 5709222261831 11937464729283 43770704007371 131312112022113