131251017351168 has 1216 divisors, whose sum is σ = 461681260185600. Its totient is φ = 36328251064320.

The previous prime is 131251017351149. The next prime is 131251017351169. The reversal of 131251017351168 is 861153710152131.

131251017351168 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 1 + 0 + 1 + 73 + 511 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (131251017351169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104250211723 + ... + 104250212981.

Almost surely, 2^{131251017351168} is an apocalyptic number.

131251017351168 is a gapful number since it is divisible by the number (18) 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 131251017351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230840630092800).

131251017351168 is an abundant number, since it is smaller than the sum of its proper divisors (330430242834432).

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

131251017351168 is a wasteful number, since it uses less digits than its factorization.

131251017351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 131251017351168 in words is "one hundred thirty-one trillion, two hundred fifty-one billion, seventeen million, three hundred fifty-one thousand, one hundred sixty-eight".