313213322322120 has 64 divisors (see below), whose sum is σ = 1025061782149440. Its totient is φ = 75930502380800.

The previous prime is 313213322322067. The next prime is 313213322322133. The reversal of 313213322322120 is 21223223312313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118641408651 + ... + 118641411290.

It is an arithmetic number, because the mean of its divisors is an integer number (16016590346085).

Almost surely, 2^{313213322322120} is an apocalyptic number.

313213322322120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313213322322120 is an abundant number, since it is smaller than the sum of its proper divisors (711848459827320).

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

313213322322120 is a wasteful number, since it uses less digits than its factorization.

313213322322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237282819966 (or 237282819962 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 313213322322120 its reverse (21223223312313), we get a palindrome (334436545634433).

The spelling of 313213322322120 in words is "three hundred thirteen trillion, two hundred thirteen billion, three hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".