13310030301013 has 2 divisors, whose sum is σ = 13310030301014. Its totient is φ = 13310030301012.

The previous prime is 13310030300999. The next prime is 13310030301067. The reversal of 13310030301013 is 31010303001331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9866270487844 + 3443759813169 = 3141062^2 + 1855737^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310030301013 - 2⁵ = 13310030300981 is a prime.

It is a super-2 number, since 2×13310030301013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310030302013) 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, 6655015150506 + 6655015150507.

It is an arithmetic number, because the mean of its divisors is an integer number (6655015150507).

Almost surely, 2^{13310030301013} is an apocalyptic number.

It is an amenable number.

13310030301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310030301013 is an equidigital number, since it uses as much as digits as its factorization.

13310030301013 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 19.

Adding to 13310030301013 its reverse (31010303001331), we get a palindrome (44320333302344).

The spelling of 13310030301013 in words is "thirteen trillion, three hundred ten billion, thirty million, three hundred one thousand, thirteen".