3111331113 has 24 divisors (see below), whose sum is σ = 4904661216. Its totient is φ = 1884902400.

The previous prime is 3111331087. The next prime is 3111331117.

3111331113 is nontrivially palindromic in base 10.

3111331113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3111331113 - 2⁵ = 3111331081 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3111331117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337698 + ... + 346788.

It is an arithmetic number, because the mean of its divisors is an integer number (204360884).

Almost surely, 2^3111331113 is an apocalyptic number.

3111331113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3111331113 is a deficient number, since it is larger than the sum of its proper divisors (1793330103).

3111331113 is a wasteful number, since it uses less digits than its factorization.

3111331113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12565 (or 12562 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 3111331113 is about 55779.3072115458. The cubic root of 3111331113 is about 1459.8741232878.

It can be divided in two parts, 31113 and 31113, that added together give a palindrome (62226).

The spelling of 3111331113 in words is "three billion, one hundred eleven million, three hundred thirty-one thousand, one hundred thirteen".