331132133100120 has 128 divisors (see below), whose sum is σ = 1083774836736000. Its totient is φ = 80269295482880.

The previous prime is 331132133100103. The next prime is 331132133100121. The reversal of 331132133100120 is 21001331231133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132133100121) by changing a digit.

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, 12494761 + ... + 28607399.

It is an arithmetic number, because the mean of its divisors is an integer number (8466990912000).

Almost surely, 2^{331132133100120} is an apocalyptic number.

331132133100120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331132133100120 is an abundant number, since it is smaller than the sum of its proper divisors (752642703635880).

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

331132133100120 is a wasteful number, since it uses less digits than its factorization.

331132133100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16128233 (or 16128229 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331132133100120 its reverse (21001331231133), we get a palindrome (352133464331253).

The spelling of 331132133100120 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred thousand, one hundred twenty".