13032513 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 7362432.

The previous prime is 13032511. The next prime is 13032517. The reversal of 13032513 is 31523031.

It is not a de Polignac number, because 13032513 - 2¹ = 13032511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13032511) 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 47 ways as a sum of consecutive naturals, for example, 77956 + ... + 78122.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^13032513 is an apocalyptic number.

13032513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13032513 is a deficient number, since it is larger than the sum of its proper divisors (8982207).

13032513 is a wasteful number, since it uses less digits than its factorization.

13032513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13032513 is about 3610.0572017629. The cubic root of 13032513 is about 235.3293285161.

Adding to 13032513 its reverse (31523031), we get a palindrome (44555544).

The spelling of 13032513 in words is "thirteen million, thirty-two thousand, five hundred thirteen".