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131012201210331 = 3747992913368697
BaseRepresentation
bin11101110010011110100111…
…101101101110000111011011
3122011212122101120011102021210
4131302132213231232013123
5114133000442002212311
61142350101354434203
736411214323062340
oct3562364755560733
9564778346142253
10131012201210331
1138820a65114021
121283b061132963
1358145225a46bc
14244d04ac3c7c7
151022ddc0783a6
hex7727a7b6e1db

131012201210331 has 32 divisors (see below), whose sum is σ = 203905798871040. Its totient is φ = 73263876466176.

The previous prime is 131012201210309. The next prime is 131012201210347. The reversal of 131012201210331 is 133012102210131.

It is not a de Polignac number, because 131012201210331 - 214 = 131012201193947 is a prime.

It is a super-2 number, since 2×1310122012103312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131012201210298 and 131012201210307.

It is not an unprimeable number, because it can be changed into a prime (131012201210351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115575 + ... + 16484271.

It is an arithmetic number, because the mean of its divisors is an integer number (6372056214720).

Almost surely, 2131012201210331 is an apocalyptic number.

131012201210331 is a deficient number, since it is larger than the sum of its proper divisors (72893597660709).

131012201210331 is a wasteful number, since it uses less digits than its factorization.

131012201210331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378683.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131012201210331 its reverse (133012102210131), we get a palindrome (264024303420462).

The spelling of 131012201210331 in words is "one hundred thirty-one trillion, twelve billion, two hundred one million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 7 21 47 141 329 987 9929 29787 69503 208509 466663 1399989 3266641 9799923 13368697 40106091 93580879 280742637 628328759 1884986277 4398301313 13194903939 132737792513 398213377539 929164547591 2787493642773 6238676248111 18716028744333 43670733736777 131012201210331