311010010113 has 32 divisors (see below), whose sum is σ = 465044464512. Its totient is φ = 183222950400.

The previous prime is 311010010097. The next prime is 311010010117.

311010010113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311010010113 - 2⁴ = 311010010097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311010010117) 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, 1175445 + ... + 1415517.

It is an arithmetic number, because the mean of its divisors is an integer number (14532639516).

Almost surely, 2^311010010113 is an apocalyptic number.

311010010113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311010010113 is a deficient number, since it is larger than the sum of its proper divisors (154034454399).

311010010113 is a wasteful number, since it uses less digits than its factorization.

311010010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241185.

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

It can be divided in two parts, 3110100 and 10113, that added together give a palindrome (3120213).

The spelling of 311010010113 in words is "three hundred eleven billion, ten million, ten thousand, one hundred thirteen".