131115431553000 has 256 divisors, whose sum is σ = 436061463552000. Its totient is φ = 32704607520000.

The previous prime is 131115431552977. The next prime is 131115431553077. The reversal of 131115431553000 is 355134511131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10055676 + ... + 19061675.

It is an arithmetic number, because the mean of its divisors is an integer number (1703365092000).

Almost surely, 2^{131115431553000} is an apocalyptic number.

131115431553000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131115431553000 is an abundant number, since it is smaller than the sum of its proper divisors (304946031999000).

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

131115431553000 is a wasteful number, since it uses less digits than its factorization.

131115431553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29117473 (or 29117459 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 131115431553000 in words is "one hundred thirty-one trillion, one hundred fifteen billion, four hundred thirty-one million, five hundred fifty-three thousand".