311113303311113 has 4 divisors (see below), whose sum is σ = 311113578870420. Its totient is φ = 311113027751808.

The previous prime is 311113303311089. The next prime is 311113303311149.

311113303311113 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 68382761355769 + 242730541955344 = 8269387^2 + 15579812^2 .

It is a cyclic number.

It is not a de Polignac number, because 311113303311113 - 2⁶ = 311113303311049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311113303311313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136079120 + ... + 138346497.

It is an arithmetic number, because the mean of its divisors is an integer number (77778394717605).

Almost surely, 2^{311113303311113} is an apocalyptic number.

It is an amenable number.

311113303311113 is a deficient number, since it is larger than the sum of its proper divisors (275559307).

311113303311113 is a wasteful number, since it uses less digits than its factorization.

311113303311113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275559306.

The product of its (nonzero) digits is 729, while the sum is 26.

It can be divided in two parts, 31111330 and 3311113, that added together give a palindrome (34422443).

The spelling of 311113303311113 in words is "three hundred eleven trillion, one hundred thirteen billion, three hundred three million, three hundred eleven thousand, one hundred thirteen".