13330033011013 has 2 divisors, whose sum is σ = 13330033011014. Its totient is φ = 13330033011012.

The previous prime is 13330033010999. The next prime is 13330033011037. The reversal of 13330033011013 is 31011033003331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12727077655009 + 602955356004 = 3567503^2 + 776502^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330033011013 - 2²⁹ = 13329496140101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13330030011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665016505506 + 6665016505507.

It is an arithmetic number, because the mean of its divisors is an integer number (6665016505507).

Almost surely, 2^{13330033011013} is an apocalyptic number.

It is an amenable number.

13330033011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330033011013 is an equidigital number, since it uses as much as digits as its factorization.

13330033011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 13330033011013 its reverse (31011033003331), we get a palindrome (44341066014344).

The spelling of 13330033011013 in words is "thirteen trillion, three hundred thirty billion, thirty-three million, eleven thousand, thirteen".