3110010100113 has 32 divisors (see below), whose sum is σ = 4832442926080. Its totient is φ = 1742320964160.

The previous prime is 3110010100111. The next prime is 3110010100177.

3110010100113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3110010100113 - 2¹ = 3110010100111 is a prime.

It is a super-2 number, since 2×3110010100113² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3110010100111) 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 31 ways as a sum of consecutive naturals, for example, 3560803 + ... + 4347336.

It is an arithmetic number, because the mean of its divisors is an integer number (151013841440).

Almost surely, 2^{3110010100113} is an apocalyptic number.

It is an amenable number.

3110010100113 is a deficient number, since it is larger than the sum of its proper divisors (1722432825967).

3110010100113 is a wasteful number, since it uses less digits than its factorization.

3110010100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908517.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 3110010 and 100113, that added together give a palindrome (3210123).

The spelling of 3110010100113 in words is "three trillion, one hundred ten billion, ten million, one hundred thousand, one hundred thirteen".