331313122013301 has 32 divisors (see below), whose sum is σ = 520131803224320. Its totient is φ = 207712765158912.

The previous prime is 331313122013219. The next prime is 331313122013327. The reversal of 331313122013301 is 103310221313133.

331313122013301 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 131 + 220 + 1 + 3 + 301 = 666.

It is not a de Polignac number, because 331313122013301 - 2⁷ = 331313122013173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331313122003301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294538840 + ... + 295661553.

It is an arithmetic number, because the mean of its divisors is an integer number (16254118850760).

Almost surely, 2^{331313122013301} is an apocalyptic number.

It is an amenable number.

331313122013301 is a deficient number, since it is larger than the sum of its proper divisors (188818681211019).

331313122013301 is a wasteful number, since it uses less digits than its factorization.

331313122013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590201642 (or 590201636 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331313122013301 its reverse (103310221313133), we get a palindrome (434623343326434).

The spelling of 331313122013301 in words is "three hundred thirty-one trillion, three hundred thirteen billion, one hundred twenty-two million, thirteen thousand, three hundred one".