131100314013 has 48 divisors (see below), whose sum is σ = 201566164800. Its totient is φ = 81874437120.

The previous prime is 131100314003. The next prime is 131100314017. The reversal of 131100314013 is 310413001131.

131100314013 is a `hidden beast` number, since 131 + 100 + 31 + 401 + 3 = 666.

It is not a de Polignac number, because 131100314013 - 2²² = 131096119709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100314017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23700058 + ... + 23705588.

It is an arithmetic number, because the mean of its divisors is an integer number (4199295100).

Almost surely, 2^131100314013 is an apocalyptic number.

It is an amenable number.

131100314013 is a deficient number, since it is larger than the sum of its proper divisors (70465850787).

131100314013 is a wasteful number, since it uses less digits than its factorization.

131100314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7079 counting only the distinct ones).

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

Adding to 131100314013 its reverse (310413001131), we get a palindrome (441513315144).

The spelling of 131100314013 in words is "one hundred thirty-one billion, one hundred million, three hundred fourteen thousand, thirteen".