13113133 has 24 divisors (see below), whose sum is σ = 15465240. Its totient is φ = 11088000.

The previous prime is 13113127. The next prime is 13113143. The reversal of 13113133 is 33131131.

It can be written as a sum of positive squares in 4 ways, for example, as 8369449 + 4743684 = 2893^2 + 2178^2 .

It is not a de Polignac number, because 13113133 - 2²¹ = 11015981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129783 + ... + 129883.

It is an arithmetic number, because the mean of its divisors is an integer number (644385).

Almost surely, 2^13113133 is an apocalyptic number.

It is an amenable number.

13113133 is a deficient number, since it is larger than the sum of its proper divisors (2352107).

13113133 is a wasteful number, since it uses less digits than its factorization.

13113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 81, while the sum is 16.

The square root of 13113133 is about 3621.2060145758. The cubic root of 13113133 is about 235.8135856750.

Adding to 13113133 its reverse (33131131), we get a palindrome (46244264).

It can be divided in two parts, 1311 and 3133, that added together give a palindrome (4444).

The spelling of 13113133 in words is "thirteen million, one hundred thirteen thousand, one hundred thirty-three".