131507313613 has 16 divisors (see below), whose sum is σ = 143060968512. Its totient is φ = 120163680000.

The previous prime is 131507313589. The next prime is 131507313631. The reversal of 131507313613 is 316313705131.

It is not a de Polignac number, because 131507313613 - 2²⁵ = 131473759181 is a prime.

It is a super-2 number, since 2×131507313613² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507313313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586618 + ... + 779188.

It is an arithmetic number, because the mean of its divisors is an integer number (8941310532).

Almost surely, 2^131507313613 is an apocalyptic number.

131507313613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131507313613 is a deficient number, since it is larger than the sum of its proper divisors (11553654899).

131507313613 is a wasteful number, since it uses less digits than its factorization.

131507313613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193116.

The product of its (nonzero) digits is 17010, while the sum is 34.

The spelling of 131507313613 in words is "one hundred thirty-one billion, five hundred seven million, three hundred thirteen thousand, six hundred thirteen".