131404352512400 has 180 divisors, whose sum is σ = 349656876850512. Its totient is φ = 47418639840000.

The previous prime is 131404352512351. The next prime is 131404352512463. The reversal of 131404352512400 is 4215253404131.

131404352512400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4022066 + ... + 16702865.

Almost surely, 2^{131404352512400} is an apocalyptic number.

131404352512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404352512400 is an abundant number, since it is smaller than the sum of its proper divisors (218252524338112).

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

131404352512400 is a wasteful number, since it uses less digits than its factorization.

131404352512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725102 (or 20725080 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 131404352512400 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-two million, five hundred twelve thousand, four hundred".