13111110330013 has 2 divisors, whose sum is σ = 13111110330014. Its totient is φ = 13111110330012.

The previous prime is 13111110330007. The next prime is 13111110330047. The reversal of 13111110330013 is 31003301111131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8589371762169 + 4521738567844 = 2930763^2 + 2126438^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111110330013 - 2²¹ = 13111108232861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13111110730013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555555165006 + 6555555165007.

It is an arithmetic number, because the mean of its divisors is an integer number (6555555165007).

Almost surely, 2^{13111110330013} is an apocalyptic number.

It is an amenable number.

13111110330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111110330013 is an equidigital number, since it uses as much as digits as its factorization.

13111110330013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 13111110330013 its reverse (31003301111131), we get a palindrome (44114411441144).

The spelling of 13111110330013 in words is "thirteen trillion, one hundred eleven billion, one hundred ten million, three hundred thirty thousand, thirteen".