130131313224000 has 448 divisors, whose sum is σ = 473307784814592. Its totient is φ = 31240697088000.

The previous prime is 130131313223983. The next prime is 130131313224037. The reversal of 130131313224000 is 422313131031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 24799177 + ... + 29584823.

It is an arithmetic number, because the mean of its divisors is an integer number (1056490591104).

Almost surely, 2^{130131313224000} is an apocalyptic number.

130131313224000 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 130131313224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236653892407296).

130131313224000 is an abundant number, since it is smaller than the sum of its proper divisors (343176471590592).

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

130131313224000 is a wasteful number, since it uses less digits than its factorization.

130131313224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785791 (or 4785771 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130131313224000 its reverse (422313131031), we get a palindrome (130553626355031).

The spelling of 130131313224000 in words is "one hundred thirty trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred twenty-four thousand".