311330102000120 has 128 divisors (see below), whose sum is σ = 800908345036800. Its totient is φ = 106695729294336.

The previous prime is 311330102000117. The next prime is 311330102000161. The reversal of 311330102000120 is 21000201033113.

It is a super-2 number, since 2×311330102000120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7432597817 + ... + 7432639703.

It is an arithmetic number, because the mean of its divisors is an integer number (6257096445600).

Almost surely, 2^{311330102000120} is an apocalyptic number.

It is an amenable number.

311330102000120 is an abundant number, since it is smaller than the sum of its proper divisors (489578243036680).

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

311330102000120 is a wasteful number, since it uses less digits than its factorization.

311330102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52717 (or 52713 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 311330102000120 its reverse (21000201033113), we get a palindrome (332330303033233).

The spelling of 311330102000120 in words is "three hundred eleven trillion, three hundred thirty billion, one hundred two million, one hundred twenty", and thus it is an aban number.