313120232112000 has 512 divisors, whose sum is σ = 1092048860972160. Its totient is φ = 79260475392000.

The previous prime is 313120232111933. The next prime is 313120232112031. The reversal of 313120232112000 is 211232021313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70665922 + ... + 74966078.

Almost surely, 2^{313120232112000} is an apocalyptic number.

313120232112000 is a gapful number since it is divisible by the number (30) 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 313120232112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546024430486080).

313120232112000 is an abundant number, since it is smaller than the sum of its proper divisors (778928628860160).

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

313120232112000 is a wasteful number, since it uses less digits than its factorization.

313120232112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300267 (or 4300245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313120232112000 its reverse (211232021313), we get a palindrome (313331464133313).

The spelling of 313120232112000 in words is "three hundred thirteen trillion, one hundred twenty billion, two hundred thirty-two million, one hundred twelve thousand".