13084013 has 2 divisors, whose sum is σ = 13084014. Its totient is φ = 13084012.

The previous prime is 13084007. The next prime is 13084021. The reversal of 13084013 is 31048031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11437924 + 1646089 = 3382^2 + 1283^2 .

It is a cyclic number.

It is not a de Polignac number, because 13084013 - 2¹⁰ = 13082989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13084003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6542006 + 6542007.

It is an arithmetic number, because the mean of its divisors is an integer number (6542007).

Almost surely, 2^13084013 is an apocalyptic number.

It is an amenable number.

13084013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13084013 is an equidigital number, since it uses as much as digits as its factorization.

13084013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13084013 is about 3617.1830199756. The cubic root of 13084013 is about 235.6389012336.

The spelling of 13084013 in words is "thirteen million, eighty-four thousand, thirteen".