13312013 has 16 divisors (see below), whose sum is σ = 15783936. Its totient is φ = 11067840.

The previous prime is 13312001. The next prime is 13312021. The reversal of 13312013 is 31021331.

It is a cyclic number.

It is not a de Polignac number, because 13312013 - 2¹⁰ = 13310989 is a prime.

It is a super-2 number, since 2×13312013² = 354419380224338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17795 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (986496).

Almost surely, 2^13312013 is an apocalyptic number.

13312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13312013 is a deficient number, since it is larger than the sum of its proper divisors (2471923).

13312013 is a wasteful number, since it uses less digits than its factorization.

13312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 13312013 is about 3648.5631418409. The cubic root of 13312013 is about 236.9997626209. Note that the first 3 decimals are identical.

Adding to 13312013 its reverse (31021331), we get a palindrome (44333344).

The spelling of 13312013 in words is "thirteen million, three hundred twelve thousand, thirteen".