131004400131 has 72 divisors (see below), whose sum is σ = 213061762368. Its totient is φ = 76923000000.

The previous prime is 131004400129. The next prime is 131004400157.

131004400131 is a `hidden beast` number, since 131 + 0 + 0 + 4 + 400 + 131 = 666.

131004400131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131004400131 - 2¹ = 131004400129 is a prime.

It is a super-2 number, since 2×131004400131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131004470131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34016356 + ... + 34020206.

It is an arithmetic number, because the mean of its divisors is an integer number (2959191144).

Almost surely, 2^131004400131 is an apocalyptic number.

131004400131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131004400131 is a deficient number, since it is larger than the sum of its proper divisors (82057362237).

131004400131 is a wasteful number, since it uses less digits than its factorization.

131004400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 131004 and 400131, that added together give a palindrome (531135).

The spelling of 131004400131 in words is "one hundred thirty-one billion, four million, four hundred thousand, one hundred thirty-one".