313312013022000 has 320 divisors, whose sum is σ = 1045007200972800. Its totient is φ = 80664392166400.

The previous prime is 313312013021993. The next prime is 313312013022061. The reversal of 313312013022000 is 220310213313.

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, 4154908297 + ... + 4154983703.

It is an arithmetic number, because the mean of its divisors is an integer number (3265647503040).

Almost surely, 2^{313312013022000} is an apocalyptic number.

313312013022000 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 313312013022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522503600486400).

313312013022000 is an abundant number, since it is smaller than the sum of its proper divisors (731695187950800).

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

313312013022000 is a wasteful number, since it uses less digits than its factorization.

313312013022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99341 (or 99325 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313312013022000 its reverse (220310213313), we get a palindrome (313532323235313).

The spelling of 313312013022000 in words is "three hundred thirteen trillion, three hundred twelve billion, thirteen million, twenty-two thousand".