331233212013120 has 168 divisors, whose sum is σ = 1140433387449720. Its totient is φ = 88241314775040.

The previous prime is 331233212013113. The next prime is 331233212013157. The reversal of 331233212013120 is 21310212332133.

331233212013120 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 3 + 321 + 20 + 1 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20199919002624 + 311033293010496 = 4494432^2 + 17636136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54086911 + ... + 59898750.

It is an arithmetic number, because the mean of its divisors is an integer number (6788293972915).

Almost surely, 2^{331233212013120} is an apocalyptic number.

331233212013120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331233212013120 is an abundant number, since it is smaller than the sum of its proper divisors (809200175436600).

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

331233212013120 is a wasteful number, since it uses less digits than its factorization.

331233212013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113986693 (or 113986680 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331233212013120 its reverse (21310212332133), we get a palindrome (352543424345253).

The spelling of 331233212013120 in words is "three hundred thirty-one trillion, two hundred thirty-three billion, two hundred twelve million, thirteen thousand, one hundred twenty".