131311020334400 has 42 divisors (see below), whose sum is σ = 323107179414270. Its totient is φ = 52524408133120.

The previous prime is 131311020334399. The next prime is 131311020334411. The reversal of 131311020334400 is 4433020113131.

It can be written as a sum of positive squares in 3 ways, for example, as 40728290224384 + 90582730110016 = 6381872^2 + 9517496^2 .

It is a super-2 number, since 2×131311020334400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131311020334400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41034692255 + ... + 41034695454.

Almost surely, 2^{131311020334400} is an apocalyptic number.

131311020334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311020334400 is an abundant number, since it is smaller than the sum of its proper divisors (191796159079870).

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

131311020334400 is an equidigital number, since it uses as much as digits as its factorization.

131311020334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82069387731 (or 82069387716 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131311020334400 its reverse (4433020113131), we get a palindrome (135744040447531).

The spelling of 131311020334400 in words is "one hundred thirty-one trillion, three hundred eleven billion, twenty million, three hundred thirty-four thousand, four hundred".