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13131400131 = 341631735749
BaseRepresentation
bin11000011101011000…
…10100001111000011
31020220011001020120000
430032230110033003
5203343114301011
610011003251043
7643260026253
oct141654241703
936804036500
1013131400131
115629373303
122665819a83
13131368a865
148c7db1963
1551cc5a356
hex30eb143c3

13131400131 has 40 divisors (see below), whose sum is σ = 19853922000. Its totient is φ = 8648762688.

The previous prime is 13131400111. The next prime is 13131400133. The reversal of 13131400131 is 13100413131.

13131400131 is a `hidden beast` number, since 1 + 3 + 131 + 400 + 131 = 666.

It is not a de Polignac number, because 13131400131 - 26 = 13131400067 is a prime.

It is a super-2 number, since 2×131314001312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131400133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2281245 + ... + 2286993.

It is an arithmetic number, because the mean of its divisors is an integer number (496348050).

Almost surely, 213131400131 is an apocalyptic number.

13131400131 is a deficient number, since it is larger than the sum of its proper divisors (6722521869).

13131400131 is a wasteful number, since it uses less digits than its factorization.

13131400131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131400131 its reverse (13100413131), we get a palindrome (26231813262).

The spelling of 13131400131 in words is "thirteen billion, one hundred thirty-one million, four hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 163 173 489 519 1467 1557 4401 4671 5749 13203 14013 17247 28199 51741 84597 155223 253791 465669 761373 937087 994577 2284119 2811261 2983731 8433783 8951193 25301349 26853579 75904047 80560737 162116051 486348153 1459044459 4377133377 13131400131