331013322311121 has 24 divisors (see below), whose sum is σ = 478517478743616. Its totient is φ = 220496912333280.

The previous prime is 331013322311057. The next prime is 331013322311129. The reversal of 331013322311121 is 121113223310133.

331013322311121 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 1 + 3 + 322 + 311 + 1 + 21 = 666.

It is not a de Polignac number, because 331013322311121 - 2⁶ = 331013322311057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331013322311129) 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 23 ways as a sum of consecutive naturals, for example, 106523566 + ... + 109586936.

It is an arithmetic number, because the mean of its divisors is an integer number (19938228280984).

Almost surely, 2^{331013322311121} is an apocalyptic number.

It is an amenable number.

331013322311121 is a deficient number, since it is larger than the sum of its proper divisors (147504156432495).

331013322311121 is a wasteful number, since it uses less digits than its factorization.

331013322311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073093 (or 3073090 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 331013322311121 its reverse (121113223310133), we get a palindrome (452126545621254).

The spelling of 331013322311121 in words is "three hundred thirty-one trillion, thirteen billion, three hundred twenty-two million, three hundred eleven thousand, one hundred twenty-one".