131013310131 has 24 divisors (see below), whose sum is σ = 206935650480. Its totient is φ = 79213377600.

The previous prime is 131013310081. The next prime is 131013310147.

131013310131 is a `hidden beast` number, since 1 + 310 + 13 + 310 + 1 + 31 = 666.

131013310131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131013310131 - 2¹⁹ = 131012785843 is a prime.

It is a super-2 number, since 2×131013310131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131013310931) 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, 1530016 + ... + 1613373.

It is an arithmetic number, because the mean of its divisors is an integer number (8622318770).

Almost surely, 2^131013310131 is an apocalyptic number.

131013310131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131013310131 is a deficient number, since it is larger than the sum of its proper divisors (75922340349).

131013310131 is a wasteful number, since it uses less digits than its factorization.

131013310131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143827 (or 3143824 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, 131013 and 310131, that added together give a palindrome (441144).

The spelling of 131013310131 in words is "one hundred thirty-one billion, thirteen million, three hundred ten thousand, one hundred thirty-one".