131350688568000 has 672 divisors, whose sum is σ = 524498708777472. Its totient is φ = 31102057728000.

The previous prime is 131350688567999. The next prime is 131350688568023. The reversal of 131350688568000 is 865886053131.

131350688568000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 506 + 8 + 8 + 56 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32127549 + ... + 35984451.

Almost surely, 2^{131350688568000} is an apocalyptic number.

131350688568000 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 131350688568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262249354388736).

131350688568000 is an abundant number, since it is smaller than the sum of its proper divisors (393148020209472).

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

131350688568000 is a wasteful number, since it uses less digits than its factorization.

131350688568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856990 (or 3856967 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 131350688568000 in words is "one hundred thirty-one trillion, three hundred fifty billion, six hundred eighty-eight million, five hundred sixty-eight thousand".