13133313 has 16 divisors (see below), whose sum is σ = 20481600. Its totient is φ = 8294400.

The previous prime is 13133311. The next prime is 13133321. The reversal of 13133313 is 31333131.

It is not a de Polignac number, because 13133313 - 2¹ = 13133311 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133311) 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, 12288 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (1280100).

Almost surely, 2^13133313 is an apocalyptic number.

It is an amenable number.

13133313 is a deficient number, since it is larger than the sum of its proper divisors (7348287).

13133313 is a wasteful number, since it uses less digits than its factorization.

13133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25629 (or 25623 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 13133313 is about 3623.9913079366. The cubic root of 13133313 is about 235.9344893816.

Adding to 13133313 its reverse (31333131), we get a palindrome (44466444).

The spelling of 13133313 in words is "thirteen million, one hundred thirty-three thousand, three hundred thirteen".