13313133 has 16 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 8845200.

The previous prime is 13313107. The next prime is 13313141. The reversal of 13313133 is 33131331.

13313133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13313133 - 2¹⁰ = 13312109 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 (13313143) 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, 9583 + ... + 10883.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^13313133 is an apocalyptic number.

It is an amenable number.

13313133 is a deficient number, since it is larger than the sum of its proper divisors (6477267).

13313133 is a wasteful number, since it uses less digits than its factorization.

13313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

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

The square root of 13313133 is about 3648.7166236911. The cubic root of 13313133 is about 237.0064090560.

Adding to 13313133 its reverse (33131331), we get a palindrome (46444464).

The spelling of 13313133 in words is "thirteen million, three hundred thirteen thousand, one hundred thirty-three".