131310013131 has 24 divisors (see below), whose sum is σ = 207054793920. Its totient is φ = 79527193200.

The previous prime is 131310013073. The next prime is 131310013151.

131310013131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131310013131 - 2¹⁷ = 131309882059 is a prime.

It is a super-2 number, since 2×131310013131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131310013151) 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, 310105 + ... + 598986.

It is an arithmetic number, because the mean of its divisors is an integer number (8627283080).

Almost surely, 2^131310013131 is an apocalyptic number.

131310013131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131310013131 is a deficient number, since it is larger than the sum of its proper divisors (75744780789).

131310013131 is a wasteful number, since it uses less digits than its factorization.

131310013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910567 (or 910564 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1313100 and 13131, that multiplied together give a square (17242316100 = 131310²).

The spelling of 131310013131 in words is "one hundred thirty-one billion, three hundred ten million, thirteen thousand, one hundred thirty-one".