131586271018512 has 320 divisors, whose sum is σ = 365287134412800. Its totient is φ = 40725134714880.

The previous prime is 131586271018507. The next prime is 131586271018603. The reversal of 131586271018512 is 215810172685131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19880079939 + ... + 19880086557.

It is an arithmetic number, because the mean of its divisors is an integer number (1141522295040).

Almost surely, 2^{131586271018512} is an apocalyptic number.

131586271018512 is a gapful number since it is divisible by the number (12) 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 131586271018512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182643567206400).

131586271018512 is an abundant number, since it is smaller than the sum of its proper divisors (233700863394288).

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

131586271018512 is a wasteful number, since it uses less digits than its factorization.

131586271018512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 131586271018512 in words is "one hundred thirty-one trillion, five hundred eighty-six billion, two hundred seventy-one million, eighteen thousand, five hundred twelve".