313122000320 has 112 divisors (see below), whose sum is σ = 786379428000. Its totient is φ = 118427811840.

The previous prime is 313122000271. The next prime is 313122000329. The reversal of 313122000320 is 23000221313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313122000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3118256 + ... + 3217104.

Almost surely, 2^313122000320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313122000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393189714000).

313122000320 is an abundant number, since it is smaller than the sum of its proper divisors (473257427680).

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

313122000320 is a wasteful number, since it uses less digits than its factorization.

313122000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99406 (or 99396 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 313122000320 its reverse (23000221313), we get a palindrome (336122221633).

The spelling of 313122000320 in words is "three hundred thirteen billion, one hundred twenty-two million, three hundred twenty", and thus it is an aban number.