13013310100131 has 32 divisors (see below), whose sum is σ = 21756840307200. Its totient is φ = 7614894097440.

The previous prime is 13013310100111. The next prime is 13013310100151. The reversal of 13013310100131 is 13100101331031.

13013310100131 is a `hidden beast` number, since 1 + 301 + 331 + 0 + 1 + 0 + 0 + 1 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (13013310100111) and next prime (13013310100151).

It is not a de Polignac number, because 13013310100131 - 2⁷ = 13013310100003 is a prime.

It is a super-2 number, since 2×13013310100131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13013310100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755437231 + ... + 755454456.

It is an arithmetic number, because the mean of its divisors is an integer number (679901259600).

Almost surely, 2^{13013310100131} is an apocalyptic number.

13013310100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013310100131 is a deficient number, since it is larger than the sum of its proper divisors (8743530207069).

13013310100131 is a wasteful number, since it uses less digits than its factorization.

13013310100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510891736 (or 1510891730 counting only the distinct ones).

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

Adding to 13013310100131 its reverse (13100101331031), we get a palindrome (26113411431162).

The spelling of 13013310100131 in words is "thirteen trillion, thirteen billion, three hundred ten million, one hundred thousand, one hundred thirty-one".