331001313201 has 24 divisors (see below), whose sum is σ = 527449254696. Its totient is φ = 198724988160.

The previous prime is 331001313173. The next prime is 331001313259. The reversal of 331001313201 is 102313100133.

It is a happy number.

331001313201 is a `hidden beast` number, since 3 + 310 + 0 + 1 + 31 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12922232976 + 318079080225 = 113676^2 + 563985^2 .

It is not a de Polignac number, because 331001313201 - 2¹¹ = 331001311153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331001313101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34496070 + ... + 34505663.

It is an arithmetic number, because the mean of its divisors is an integer number (21977052279).

Almost surely, 2^331001313201 is an apocalyptic number.

It is an amenable number.

331001313201 is a deficient number, since it is larger than the sum of its proper divisors (196447941495).

331001313201 is a wasteful number, since it uses less digits than its factorization.

331001313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69001793 (or 69001790 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331001313201 its reverse (102313100133), we get a palindrome (433314413334).

The spelling of 331001313201 in words is "three hundred thirty-one billion, one million, three hundred thirteen thousand, two hundred one".