131343351796800 has 1008 divisors, whose sum is σ = 551195785795200. Its totient is φ = 29243731968000.

The previous prime is 131343351796781. The next prime is 131343351796817. The reversal of 131343351796800 is 8697153343131.

It is a happy number.

131343351796800 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 33 + 517 + 96 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×131343351796800² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 409620540 + ... + 409941060.

Almost surely, 2^{131343351796800} is an apocalyptic number.

131343351796800 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 131343351796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275597892897600).

131343351796800 is an abundant number, since it is smaller than the sum of its proper divisors (419852433998400).

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

131343351796800 is a wasteful number, since it uses less digits than its factorization.

131343351796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320772 (or 320754 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 131343351796800 in words is "one hundred thirty-one trillion, three hundred forty-three billion, three hundred fifty-one million, seven hundred ninety-six thousand, eight hundred".