313310032110120 has 256 divisors, whose sum is σ = 962557024665600. Its totient is φ = 81548004177920.

The previous prime is 313310032110107. The next prime is 313310032110157. The reversal of 313310032110120 is 21011230013313.

It is a happy 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, 4532872921 + ... + 4532942039.

It is an arithmetic number, because the mean of its divisors is an integer number (3759988377600).

Almost surely, 2^{313310032110120} is an apocalyptic number.

313310032110120 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 313310032110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481278512332800).

313310032110120 is an abundant number, since it is smaller than the sum of its proper divisors (649246992555480).

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

313310032110120 is a wasteful number, since it uses less digits than its factorization.

313310032110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71368 (or 71364 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313310032110120 its reverse (21011230013313), we get a palindrome (334321262123433).

The spelling of 313310032110120 in words is "three hundred thirteen trillion, three hundred ten billion, thirty-two million, one hundred ten thousand, one hundred twenty".