131401881492900 has 576 divisors, whose sum is σ = 402000895296000. Its totient is φ = 33074608455680.

The previous prime is 131401881492899. The next prime is 131401881492919. The reversal of 131401881492900 is 9294188104131.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153327749272 + ... + 153327750128.

It is an arithmetic number, because the mean of its divisors is an integer number (697918221000).

Almost surely, 2^{131401881492900} is an apocalyptic number.

131401881492900 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 131401881492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201000447648000).

131401881492900 is an abundant number, since it is smaller than the sum of its proper divisors (270599013803100).

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

131401881492900 is a wasteful number, since it uses less digits than its factorization.

131401881492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 131401881492900 in words is "one hundred thirty-one trillion, four hundred one billion, eight hundred eighty-one million, four hundred ninety-two thousand, nine hundred".