311110011113 has 16 divisors (see below), whose sum is σ = 359475537600. Its totient is φ = 266102592000.

The previous prime is 311110011053. The next prime is 311110011131.

311110011113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311110011113 - 2¹² = 311110007017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311110011193) 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, 297338 + ... + 842988.

It is an arithmetic number, because the mean of its divisors is an integer number (22467221100).

Almost surely, 2^311110011113 is an apocalyptic number.

It is an amenable number.

311110011113 is a deficient number, since it is larger than the sum of its proper divisors (48365526487).

311110011113 is a wasteful number, since it uses less digits than its factorization.

311110011113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548728.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 3111100 and 11113, that added together give a palindrome (3122213).

The spelling of 311110011113 in words is "three hundred eleven billion, one hundred ten million, eleven thousand, one hundred thirteen".