13052013 has 8 divisors (see below), whose sum is σ = 18741408. Its totient is φ = 8031984.

The previous prime is 13052003. The next prime is 13052021. The reversal of 13052013 is 31025031.

It is a happy number.

13052013 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 a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13052013 - 2⁶ = 13051949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13051983 and 13052001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167295 + ... + 167372.

It is an arithmetic number, because the mean of its divisors is an integer number (2342676).

Almost surely, 2^13052013 is an apocalyptic number.

13052013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13052013 is a deficient number, since it is larger than the sum of its proper divisors (5689395).

13052013 is a wasteful number, since it uses less digits than its factorization.

13052013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334683.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13052013 is about 3612.7569804790. The cubic root of 13052013 is about 235.4466411447.

Adding to 13052013 its reverse (31025031), we get a palindrome (44077044).

The spelling of 13052013 in words is "thirteen million, fifty-two thousand, thirteen".