13311431133 has 128 divisors (see below), whose sum is σ = 25004851200. Its totient is φ = 6076062720.

The previous prime is 13311431117. The next prime is 13311431149. The reversal of 13311431133 is 33113411331.

It is an interprime number because it is at equal distance from previous prime (13311431117) and next prime (13311431149).

It is not a de Polignac number, because 13311431133 - 2⁴ = 13311431117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311431113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5220943 + ... + 5223491.

It is an arithmetic number, because the mean of its divisors is an integer number (195350400).

Almost surely, 2^13311431133 is an apocalyptic number.

13311431133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13311431133 is a deficient number, since it is larger than the sum of its proper divisors (11693420067).

13311431133 is a wasteful number, since it uses less digits than its factorization.

13311431133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667.

The product of its digits is 972, while the sum is 24.

Adding to 13311431133 its reverse (33113411331), we get a palindrome (46424842464).

It can be divided in two parts, 13311 and 431133, that added together give a palindrome (444444).

The spelling of 13311431133 in words is "thirteen billion, three hundred eleven million, four hundred thirty-one thousand, one hundred thirty-three".