13333300111013 has 2 divisors, whose sum is σ = 13333300111014. Its totient is φ = 13333300111012.

The previous prime is 13333300111007. The next prime is 13333300111049. The reversal of 13333300111013 is 31011100333331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12564805927969 + 768494183044 = 3544687^2 + 876638^2 .

It is an emirp because it is prime and its reverse (31011100333331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13333300111013 - 2⁴ = 13333300110997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13333300111013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13333300111213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6666650055506 + 6666650055507.

It is an arithmetic number, because the mean of its divisors is an integer number (6666650055507).

Almost surely, 2^{13333300111013} is an apocalyptic number.

It is an amenable number.

13333300111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13333300111013 is an equidigital number, since it uses as much as digits as its factorization.

13333300111013 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 23.

Adding to 13333300111013 its reverse (31011100333331), we get a palindrome (44344400444344).

The spelling of 13333300111013 in words is "thirteen trillion, three hundred thirty-three billion, three hundred million, one hundred eleven thousand, thirteen".