131475787574131 has 192 divisors, whose sum is σ = 183430519711488. Its totient is φ = 91667220480000.

The previous prime is 131475787574119. The next prime is 131475787574167.

131475787574131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131475787574131 - 2⁵ = 131475787574099 is a prime.

It is a super-2 number, since 2×131475787574131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131475787574431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11122216201 + ... + 11122228021.

It is an arithmetic number, because the mean of its divisors is an integer number (955367290164).

Almost surely, 2^{131475787574131} is an apocalyptic number.

131475787574131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131475787574131 is a deficient number, since it is larger than the sum of its proper divisors (51954732137357).

131475787574131 is a wasteful number, since it uses less digits than its factorization.

131475787574131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12163 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 64.

It can be divided in two parts, 1314757 and 87574131, that added together give a palindrome (88888888).

The spelling of 131475787574131 in words is "one hundred thirty-one trillion, four hundred seventy-five billion, seven hundred eighty-seven million, five hundred seventy-four thousand, one hundred thirty-one".