13513013 has 2 divisors, whose sum is σ = 13513014. Its totient is φ = 13513012.

The previous prime is 13513007. The next prime is 13513021. The reversal of 13513013 is 31031531.

13513013 is digitally balanced in base 2, 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., 13126129 + 386884 = 3623^2 + 622^2 .

It is a cyclic number.

It is not a de Polignac number, because 13513013 - 2⁴ = 13512997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13512982 and 13513000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13513813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6756506 + 6756507.

It is an arithmetic number, because the mean of its divisors is an integer number (6756507).

Almost surely, 2^13513013 is an apocalyptic number.

It is an amenable number.

13513013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13513013 is an equidigital number, since it uses as much as digits as its factorization.

13513013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 13513013 is about 3676.0050326407. The cubic root of 13513013 is about 238.1866400775.

Adding to 13513013 its reverse (31031531), we get a palindrome (44544544).

The spelling of 13513013 in words is "thirteen million, five hundred thirteen thousand, thirteen".