331034314261113 has 32 divisors (see below), whose sum is σ = 491902366855680. Its totient is φ = 220024011744000.

The previous prime is 331034314261093. The next prime is 331034314261127. The reversal of 331034314261113 is 311162413430133.

331034314261113 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 3 + 4 + 31 + 4 + 2 + 611 + 1 + 3 = 666.

It is not a de Polignac number, because 331034314261113 - 2⁵ = 331034314261081 is a prime.

It is a super-2 number, since 2×331034314261113² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331034314261153) 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, 1741006 + ... + 25789527.

It is an arithmetic number, because the mean of its divisors is an integer number (15371948964240).

Almost surely, 2^{331034314261113} is an apocalyptic number.

It is an amenable number.

331034314261113 is a deficient number, since it is larger than the sum of its proper divisors (160868052594567).

331034314261113 is a wasteful number, since it uses less digits than its factorization.

331034314261113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27531886 (or 27531880 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 331034314261113 its reverse (311162413430133), we get a palindrome (642196727691246).

The spelling of 331034314261113 in words is "three hundred thirty-one trillion, thirty-four billion, three hundred fourteen million, two hundred sixty-one thousand, one hundred thirteen".