311010242010113 has 16 divisors (see below), whose sum is σ = 321950398049280. Its totient is φ = 300084476037696.

The previous prime is 311010242010053. The next prime is 311010242010121.

311010242010113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311010242010113 - 2¹⁴ = 311010241993729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311010242013113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704793820 + ... + 1704976242.

It is an arithmetic number, because the mean of its divisors is an integer number (20121899878080).

Almost surely, 2^{311010242010113} is an apocalyptic number.

It is an amenable number.

311010242010113 is a deficient number, since it is larger than the sum of its proper divisors (10940156039167).

311010242010113 is a wasteful number, since it uses less digits than its factorization.

311010242010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221536.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 311010242010113 in words is "three hundred eleven trillion, ten billion, two hundred forty-two million, ten thousand, one hundred thirteen".