131413897196496 has 160 divisors (see below), whose sum is σ = 377702094268800. Its totient is φ = 43747121848320.

The previous prime is 131413897196479. The next prime is 131413897196551. The reversal of 131413897196496 is 694691798314131.

131413897196496 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 38 + 97 + 19 + 6 + 496 = 666.

131413897196496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131413897196496² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087703931 + ... + 1087824741.

It is an arithmetic number, because the mean of its divisors is an integer number (2360638089180).

Almost surely, 2^{131413897196496} is an apocalyptic number.

131413897196496 is a gapful number since it is divisible by the number (16) 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 131413897196496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188851047134400).

131413897196496 is an abundant number, since it is smaller than the sum of its proper divisors (246288197072304).

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

131413897196496 is a wasteful number, since it uses less digits than its factorization.

131413897196496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124114 (or 124102 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 131413897196496 in words is "one hundred thirty-one trillion, four hundred thirteen billion, eight hundred ninety-seven million, one hundred ninety-six thousand, four hundred ninety-six".