131050382400 has 756 divisors, whose sum is σ = 548922366720. Its totient is φ = 29562624000.

The previous prime is 131050382389. The next prime is 131050382497. The reversal of 131050382400 is 4283050131.

It is a happy number.

131050382400 is a `hidden beast` number, since 131 + 0 + 50 + 3 + 82 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 55741225 + ... + 55743575.

Almost surely, 2^131050382400 is an apocalyptic number.

131050382400 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 131050382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274461183360).

131050382400 is an abundant number, since it is smaller than the sum of its proper divisors (417871984320).

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

131050382400 is a wasteful number, since it uses less digits than its factorization.

131050382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 131050382400 in words is "one hundred thirty-one billion, fifty million, three hundred eighty-two thousand, four hundred".