311411020114113 has 16 divisors (see below), whose sum is σ = 415256628596736. Its totient is φ = 207586380027600.

The previous prime is 311411020114087. The next prime is 311411020114141.

311411020114113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311411020114113 - 2⁹ = 311411020113601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311411020114193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2208784620 + ... + 2208925602.

It is an arithmetic number, because the mean of its divisors is an integer number (25953539287296).

Almost surely, 2^{311411020114113} is an apocalyptic number.

It is an amenable number.

311411020114113 is a deficient number, since it is larger than the sum of its proper divisors (103845608482623).

311411020114113 is a wasteful number, since it uses less digits than its factorization.

311411020114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210124.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 311411020114113 in words is "three hundred eleven trillion, four hundred eleven billion, twenty million, one hundred fourteen thousand, one hundred thirteen".