131264415146331 has 24 divisors (see below), whose sum is σ = 190505743294464. Its totient is φ = 87093505542960.

The previous prime is 131264415146323. The next prime is 131264415146369. The reversal of 131264415146331 is 133641514462131.

131264415146331 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 4 + 4 + 1 + 5 + 1 + 4 + 633 + 1 = 666.

It is not a de Polignac number, because 131264415146331 - 2³ = 131264415146323 is a prime.

It is a super-2 number, since 2×131264415146331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131264415146321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128560830 + ... + 129577836.

It is an arithmetic number, because the mean of its divisors is an integer number (7937739303936).

Almost surely, 2^{131264415146331} is an apocalyptic number.

131264415146331 is a deficient number, since it is larger than the sum of its proper divisors (59241328148133).

131264415146331 is a wasteful number, since it uses less digits than its factorization.

131264415146331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085191 (or 1085188 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 131264415146331 in words is "one hundred thirty-one trillion, two hundred sixty-four billion, four hundred fifteen million, one hundred forty-six thousand, three hundred thirty-one".