3110014100113 has 16 divisors (see below), whose sum is σ = 3325895603280. Its totient is φ = 2897798400000.

The previous prime is 3110014100107. The next prime is 3110014100129.

3110014100113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 725883552144 + 2384130547969 = 851988^2 + 1544063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3110014100113 is a prime.

It is a super-2 number, since 2×3110014100113² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3110014103113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17943973 + ... + 18116461.

It is an arithmetic number, because the mean of its divisors is an integer number (207868475205).

Almost surely, 2^{3110014100113} is an apocalyptic number.

It is an amenable number.

3110014100113 is a deficient number, since it is larger than the sum of its proper divisors (215881503167).

3110014100113 is a wasteful number, since it uses less digits than its factorization.

3110014100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183108.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 3110014100113 in words is "three trillion, one hundred ten billion, fourteen million, one hundred thousand, one hundred thirteen".