13335130013 has 2 divisors, whose sum is σ = 13335130014. Its totient is φ = 13335130012.

The previous prime is 13335129991. The next prime is 13335130051. The reversal of 13335130013 is 31003153331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13077752164 + 257377849 = 114358^2 + 16043^2 .

It is a cyclic number.

It is not a de Polignac number, because 13335130013 - 2³⁰ = 12261388189 is a prime.

It is a super-2 number, since 2×13335130013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13335130213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6667565006 + 6667565007.

It is an arithmetic number, because the mean of its divisors is an integer number (6667565007).

Almost surely, 2^13335130013 is an apocalyptic number.

It is an amenable number.

13335130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13335130013 is an equidigital number, since it uses as much as digits as its factorization.

13335130013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1215, while the sum is 23.

Adding to 13335130013 its reverse (31003153331), we get a palindrome (44338283344).

The spelling of 13335130013 in words is "thirteen billion, three hundred thirty-five million, one hundred thirty thousand, thirteen".