131165591251968 has 352 divisors, whose sum is σ = 478091115461120. Its totient is φ = 34593122304000.

The previous prime is 131165591251829. The next prime is 131165591251979. The reversal of 131165591251968 is 869152195561131.

It is a happy number.

131165591251968 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 5 + 59 + 1 + 2 + 519 + 68 = 666.

It is a super-3 number, since 3×131165591251968³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 23550658 + ... + 28582593.

Almost surely, 2^{131165591251968} is an apocalyptic number.

131165591251968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131165591251968 is an abundant number, since it is smaller than the sum of its proper divisors (346925524209152).

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

131165591251968 is a wasteful number, since it uses less digits than its factorization.

131165591251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52133300 (or 52133276 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 63.

The spelling of 131165591251968 in words is "one hundred thirty-one trillion, one hundred sixty-five billion, five hundred ninety-one million, two hundred fifty-one thousand, nine hundred sixty-eight".