313121022000 has 160 divisors (see below), whose sum is σ = 1009999683264. Its totient is φ = 83457792000.

The previous prime is 313121021989. The next prime is 313121022077. The reversal of 313121022000 is 220121313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13314252 + ... + 13337748.

Almost surely, 2^313121022000 is an apocalyptic number.

313121022000 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 313121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504999841632).

313121022000 is an abundant number, since it is smaller than the sum of its proper divisors (696878661264).

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

313121022000 is a wasteful number, since it uses less digits than its factorization.

313121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25744 (or 25728 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 313121022000 its reverse (220121313), we get a palindrome (313341143313).

The spelling of 313121022000 in words is "three hundred thirteen billion, one hundred twenty-one million, twenty-two thousand".