13513313 has 24 divisors (see below), whose sum is σ = 16130016. Its totient is φ = 11217600.

The previous prime is 13513289. The next prime is 13513319. The reversal of 13513313 is 31331531.

It is not a de Polignac number, because 13513313 - 2¹² = 13509217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13513319) 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, 162770 + ... + 162852.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 2^13513313 is an apocalyptic number.

It is an amenable number.

13513313 is a deficient number, since it is larger than the sum of its proper divisors (2616703).

13513313 is a wasteful number, since it uses less digits than its factorization.

13513313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its digits is 405, while the sum is 20.

The square root of 13513313 is about 3676.0458375815. The cubic root of 13513313 is about 238.1884027109.

Adding to 13513313 its reverse (31331531), we get a palindrome (44844844).

It can be divided in two parts, 1351 and 3313, that added together give a palindrome (4664).

The spelling of 13513313 in words is "thirteen million, five hundred thirteen thousand, three hundred thirteen".