13305513 has 16 divisors (see below), whose sum is σ = 19184256. Its totient is φ = 8154240.

The previous prime is 13305511. The next prime is 13305517. The reversal of 13305513 is 31550331.

It is a happy number.

It is not a de Polignac number, because 13305513 - 2¹ = 13305511 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13305513.

It is not an unprimeable number, because it can be changed into a prime (13305511) 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 15 ways as a sum of consecutive naturals, for example, 11581 + ... + 12677.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 2^13305513 is an apocalyptic number.

13305513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13305513 is a deficient number, since it is larger than the sum of its proper divisors (5878743).

13305513 is a wasteful number, since it uses less digits than its factorization.

13305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 13305513 is about 3647.6722714630. The cubic root of 13305513 is about 236.9611821984.

Adding to 13305513 its reverse (31550331), we get a palindrome (44855844).

The spelling of 13305513 in words is "thirteen million, three hundred five thousand, five hundred thirteen".