13333332000013 has 2 divisors, whose sum is σ = 13333332000014. Its totient is φ = 13333332000012.

The previous prime is 13333331999947. The next prime is 13333332000031. The reversal of 13333332000013 is 31000023333331.

Together with next prime (13333332000031) 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., 11516263047844 + 1817068952169 = 3393562^2 + 1347987^2 .

It is a cyclic number.

It is not a de Polignac number, because 13333332000013 - 2²⁵ = 13333298445581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13333332000413) 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, 6666666000006 + 6666666000007.

It is an arithmetic number, because the mean of its divisors is an integer number (6666666000007).

Almost surely, 2^{13333332000013} is an apocalyptic number.

It is an amenable number.

13333332000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13333332000013 is an equidigital number, since it uses as much as digits as its factorization.

13333332000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 13333332000013 its reverse (31000023333331), we get a palindrome (44333355333344).

The spelling of 13333332000013 in words is "thirteen trillion, three hundred thirty-three billion, three hundred thirty-two million, thirteen", and thus it is an aban number.