13032013 has 8 divisors (see below), whose sum is σ = 13886208. Its totient is φ = 12187584.

The previous prime is 13031999. The next prime is 13032017. The reversal of 13032013 is 31023031.

13032013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13032013 - 2⁵ = 13031981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13031984 and 13032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420 + ... + 5122.

It is an arithmetic number, because the mean of its divisors is an integer number (1735776).

Almost surely, 2^13032013 is an apocalyptic number.

It is an amenable number.

13032013 is a deficient number, since it is larger than the sum of its proper divisors (854195).

13032013 is a wasteful number, since it uses less digits than its factorization.

13032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13032013 is about 3609.9879501184. The cubic root of 13032013 is about 235.3263189617.

Adding to 13032013 its reverse (31023031), we get a palindrome (44055044).

The spelling of 13032013 in words is "thirteen million, thirty-two thousand, thirteen".