131351984400 has 240 divisors, whose sum is σ = 517864049024. Its totient is φ = 27713802240.

The previous prime is 131351984399. The next prime is 131351984447. The reversal of 131351984400 is 4489153131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492229 + ... + 710628.

Almost surely, 2^131351984400 is an apocalyptic number.

131351984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131351984400 is an abundant number, since it is smaller than the sum of its proper divisors (386512064624).

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

131351984400 is a wasteful number, since it uses less digits than its factorization.

131351984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202898 (or 1202887 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 131351984400 in words is "one hundred thirty-one billion, three hundred fifty-one million, nine hundred eighty-four thousand, four hundred".