13003013 has 2 divisors, whose sum is σ = 13003014. Its totient is φ = 13003012.

The previous prime is 13003009. The next prime is 13003019. The reversal of 13003013 is 31030031.

13003013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10640644 + 2362369 = 3262^2 + 1537^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003013 - 2² = 13003009 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13002985 and 13003003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501506 + 6501507.

It is an arithmetic number, because the mean of its divisors is an integer number (6501507).

Almost surely, 2^13003013 is an apocalyptic number.

It is an amenable number.

13003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003013 is an equidigital number, since it uses as much as digits as its factorization.

13003013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13003013 is about 3605.9690791797. The cubic root of 13003013 is about 235.1516329366.

Adding to 13003013 its reverse (31030031), we get a palindrome (44033044).

The spelling of 13003013 in words is "thirteen million, three thousand, thirteen".