13003033013 has 2 divisors, whose sum is σ = 13003033014. Its totient is φ = 13003033012.

The previous prime is 13003033007. The next prime is 13003033033. The reversal of 13003033013 is 31033030031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6987789649 + 6015243364 = 83593^2 + 77558^2 .

It is an emirp because it is prime and its reverse (31033030031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13003033013 - 2⁴ = 13003032997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13003032982 and 13003033000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003033033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501516506 + 6501516507.

It is an arithmetic number, because the mean of its divisors is an integer number (6501516507).

Almost surely, 2^13003033013 is an apocalyptic number.

It is an amenable number.

13003033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003033013 is an equidigital number, since it uses as much as digits as its factorization.

13003033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 13003033013 its reverse (31033030031), we get a palindrome (44036063044).

The spelling of 13003033013 in words is "thirteen billion, three million, thirty-three thousand, thirteen".