131413113022131 has 16 divisors (see below), whose sum is σ = 194802881731200. Its totient is φ = 87556187250504.

The previous prime is 131413113022109. The next prime is 131413113022151. The reversal of 131413113022131 is 131220311314131.

131413113022131 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 311 + 302 + 2 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 131413113022131 - 2¹⁰ = 131413113021107 is a prime.

It is a super-2 number, since 2×131413113022131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131413113022095 and 131413113022104.

It is not an unprimeable number, because it can be changed into a prime (131413113022151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459808721 + ... + 1459898738.

It is an arithmetic number, because the mean of its divisors is an integer number (12175180108200).

Almost surely, 2^{131413113022131} is an apocalyptic number.

131413113022131 is a deficient number, since it is larger than the sum of its proper divisors (63389768709069).

131413113022131 is a wasteful number, since it uses less digits than its factorization.

131413113022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919709135 (or 2919709129 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131413113022131 its reverse (131220311314131), we get a palindrome (262633424336262).

The spelling of 131413113022131 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirteen million, twenty-two thousand, one hundred thirty-one".