331013667100401 has 28 divisors (see below), whose sum is σ = 496310274334992. Its totient is φ = 220668305149656.

The previous prime is 331013667100343. The next prime is 331013667100427. The reversal of 331013667100401 is 104001766310133.

331013667100401 is a `hidden beast` number, since 3 + 3 + 10 + 136 + 6 + 7 + 100 + 401 = 666.

It is not a de Polignac number, because 331013667100401 - 2²⁹ = 331013130229489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331013667100201) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13895530 + ... + 29242316.

Almost surely, 2^{331013667100401} is an apocalyptic number.

It is an amenable number.

331013667100401 is a deficient number, since it is larger than the sum of its proper divisors (165296607234591).

331013667100401 is an equidigital number, since it uses as much as digits as its factorization.

331013667100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15376392 (or 15376377 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 331013667100401 in words is "three hundred thirty-one trillion, thirteen billion, six hundred sixty-seven million, one hundred thousand, four hundred one".