3114336334113 has 24 divisors (see below), whose sum is σ = 4521279833928. Its totient is φ = 2065717665792.

The previous prime is 3114336334111. The next prime is 3114336334157.

3114336334113 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 3 + 3 + 633 + 4 + 1 + 13 = 666.

3114336334113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1446371833104 + 1667964501009 = 1202652^2 + 1291497^2 .

It is not a de Polignac number, because 3114336334113 - 2¹ = 3114336334111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3114336334111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2147281 + ... + 3292337.

It is an arithmetic number, because the mean of its divisors is an integer number (188386659747).

Almost surely, 2^{3114336334113} is an apocalyptic number.

It is an amenable number.

3114336334113 is a deficient number, since it is larger than the sum of its proper divisors (1406943499815).

3114336334113 is a wasteful number, since it uses less digits than its factorization.

3114336334113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146593 (or 1146590 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

It can be divided in two parts, 3114336 and 334113, that added together give a square (3448449 = 1857²).

The spelling of 3114336334113 in words is "three trillion, one hundred fourteen billion, three hundred thirty-six million, three hundred thirty-four thousand, one hundred thirteen".