13301033003009 has 2 divisors, whose sum is σ = 13301033003010. Its totient is φ = 13301033003008.

The previous prime is 13301033002991. The next prime is 13301033003023. The reversal of 13301033003009 is 90030033010331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12728105116609 + 572927886400 = 3567647^2 + 756920^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301033003009 - 2⁸ = 13301033002753 is a prime.

It is not a weakly prime, because it can be changed into another prime (13301033000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650516501504 + 6650516501505.

It is an arithmetic number, because the mean of its divisors is an integer number (6650516501505).

Almost surely, 2^{13301033003009} is an apocalyptic number.

It is an amenable number.

13301033003009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301033003009 is an equidigital number, since it uses as much as digits as its factorization.

13301033003009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 26.

The spelling of 13301033003009 in words is "thirteen trillion, three hundred one billion, thirty-three million, three thousand, nine".