131413395425904 has 320 divisors, whose sum is σ = 382482819532800. Its totient is φ = 43195079319552.

The previous prime is 131413395425831. The next prime is 131413395425993. The reversal of 131413395425904 is 409524593314131.

131413395425904 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 3 + 9 + 5 + 42 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21767993574 + ... + 21767999610.

It is an arithmetic number, because the mean of its divisors is an integer number (1195258811040).

Almost surely, 2^{131413395425904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413395425904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191241409766400).

131413395425904 is an abundant number, since it is smaller than the sum of its proper divisors (251069424106896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131413395425904 is a wasteful number, since it uses less digits than its factorization.

131413395425904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 131413395425904 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred ninety-five million, four hundred twenty-five thousand, nine hundred four".