131312102031 has 24 divisors (see below), whose sum is σ = 208924949376. Its totient is φ = 78810434640.

The previous prime is 131312102023. The next prime is 131312102057. The reversal of 131312102031 is 130201213131.

It is not a de Polignac number, because 131312102031 - 2³ = 131312102023 is a prime.

It is a super-2 number, since 2×131312102031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131312101995 and 131312102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312102081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6428565 + ... + 6448958.

It is an arithmetic number, because the mean of its divisors is an integer number (8705206224).

Almost surely, 2^131312102031 is an apocalyptic number.

131312102031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131312102031 is a deficient number, since it is larger than the sum of its proper divisors (77612847345).

131312102031 is a wasteful number, since it uses less digits than its factorization.

131312102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877643 (or 12877640 counting only the distinct ones).

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

Adding to 131312102031 its reverse (130201213131), we get a palindrome (261513315162).

Subtracting from 131312102031 its reverse (130201213131), we obtain a square (1110888900 = 33330²).

The spelling of 131312102031 in words is "one hundred thirty-one billion, three hundred twelve million, one hundred two thousand, thirty-one".