131031022304000 has 432 divisors, whose sum is σ = 408915126468576. Its totient is φ = 41469152256000.

The previous prime is 131031022303981. The next prime is 131031022304003. The reversal of 131031022304000 is 403220130131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131031022304003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17169935 + ... + 23598065.

Almost surely, 2^{131031022304000} is an apocalyptic number.

131031022304000 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 131031022304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204457563234288).

131031022304000 is an abundant number, since it is smaller than the sum of its proper divisors (277884104164576).

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

131031022304000 is an equidigital number, since it uses as much as digits as its factorization.

131031022304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428189 (or 6428158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131031022304000 its reverse (403220130131), we get a palindrome (131434242434131).

The spelling of 131031022304000 in words is "one hundred thirty-one trillion, thirty-one billion, twenty-two million, three hundred four thousand".