131431357400 has 96 divisors (see below), whose sum is σ = 356359260000. Its totient is φ = 45062156160.

The previous prime is 131431357391. The next prime is 131431357427. The reversal of 131431357400 is 4753134131.

131431357400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 889355 + ... + 1026554.

It is an arithmetic number, because the mean of its divisors is an integer number (3712075625).

Almost surely, 2^131431357400 is an apocalyptic number.

131431357400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131431357400 is an abundant number, since it is smaller than the sum of its proper divisors (224927902600).

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

131431357400 is a wasteful number, since it uses less digits than its factorization.

131431357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915946 (or 1915923 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 131431357400 in words is "one hundred thirty-one billion, four hundred thirty-one million, three hundred fifty-seven thousand, four hundred".