131310133401013 has 24 divisors (see below), whose sum is σ = 153161352960000. Its totient is φ = 112247456051808.

The previous prime is 131310133400959. The next prime is 131310133401023. The reversal of 131310133401013 is 310104331013131.

It is not a de Polignac number, because 131310133401013 - 2¹⁷ = 131310133269941 is a prime.

It is a super-2 number, since 2×131310133401013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310133401023) 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, 105966988 + ... + 107198986.

It is an arithmetic number, because the mean of its divisors is an integer number (6381723040000).

Almost surely, 2^{131310133401013} is an apocalyptic number.

It is an amenable number.

131310133401013 is a deficient number, since it is larger than the sum of its proper divisors (21851219558987).

131310133401013 is a wasteful number, since it uses less digits than its factorization.

131310133401013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237889 (or 1237882 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131310133401013 its reverse (310104331013131), we get a palindrome (441414464414144).

The spelling of 131310133401013 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred thirty-three million, four hundred one thousand, thirteen".