331101013020120 has 192 divisors, whose sum is σ = 1230169698239040. Its totient is φ = 75657712435200.

The previous prime is 331101013020119. The next prime is 331101013020149. The reversal of 331101013020120 is 21020310101133.

331101013020120 is a `hidden beast` number, since 3 + 311 + 0 + 1 + 0 + 130 + 201 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331101013020093 and 331101013020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11076441 + ... + 28015880.

It is an arithmetic number, because the mean of its divisors is an integer number (6407133844995).

Almost surely, 2^{331101013020120} is an apocalyptic number.

331101013020120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331101013020120 is an abundant number, since it is smaller than the sum of its proper divisors (899068685218920).

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

331101013020120 is a wasteful number, since it uses less digits than its factorization.

331101013020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39095706 (or 39095699 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 331101013020120 its reverse (21020310101133), we get a palindrome (352121323121253).

The spelling of 331101013020120 in words is "three hundred thirty-one trillion, one hundred one billion, thirteen million, twenty thousand, one hundred twenty".