13113111133 has 16 divisors (see below), whose sum is σ = 13579961200. Its totient is φ = 12652609536.

The previous prime is 13113111113. The next prime is 13113111217. The reversal of 13113111133 is 33111131131.

13113111133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 844890489 + 12268220644 = 29067^2 + 110762^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113111133 - 2⁵ = 13113111101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13113111133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2403793 + ... + 2409241.

It is an arithmetic number, because the mean of its divisors is an integer number (848747575).

Almost surely, 2^13113111133 is an apocalyptic number.

It is an amenable number.

13113111133 is a deficient number, since it is larger than the sum of its proper divisors (466850067).

13113111133 is a wasteful number, since it uses less digits than its factorization.

13113111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016.

The product of its digits is 81, while the sum is 19.

Adding to 13113111133 its reverse (33111131131), we get a palindrome (46224242264).

The spelling of 13113111133 in words is "thirteen billion, one hundred thirteen million, one hundred eleven thousand, one hundred thirty-three".