131375074400000 has 432 divisors, whose sum is σ = 345608698377600. Its totient is φ = 49700252160000.

The previous prime is 131375074399999. The next prime is 131375074400023. The reversal of 131375074400000 is 4470573131.

It is a congruent number.

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, 9408793019 + ... + 9408806981.

Almost surely, 2^{131375074400000} is an apocalyptic number.

131375074400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131375074400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172804349188800).

131375074400000 is an abundant number, since it is smaller than the sum of its proper divisors (214233623977600).

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

131375074400000 is an frugal number, since it uses more digits than its factorization.

131375074400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14642 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 131375074400000 in words is "one hundred thirty-one trillion, three hundred seventy-five billion, seventy-four million, four hundred thousand".