13027013 has 2 divisors, whose sum is σ = 13027014. Its totient is φ = 13027012.

The previous prime is 13026983. The next prime is 13027031. The reversal of 13027013 is 31072031.

13027013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13027031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11303044 + 1723969 = 3362^2 + 1313^2 .

It is an emirp because it is prime and its reverse (31072031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13027013 - 2¹⁰ = 13025989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13026982 and 13027000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13027513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6513506 + 6513507.

It is an arithmetic number, because the mean of its divisors is an integer number (6513507).

Almost surely, 2^13027013 is an apocalyptic number.

It is an amenable number.

13027013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13027013 is an equidigital number, since it uses as much as digits as its factorization.

13027013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13027013 is about 3609.2953605933. The cubic root of 13027013 is about 235.2962191834.

Adding to 13027013 its reverse (31072031), we get a palindrome (44099044).

The spelling of 13027013 in words is "thirteen million, twenty-seven thousand, thirteen".