13111033302313 has 2 divisors, whose sum is σ = 13111033302314. Its totient is φ = 13111033302312.

The previous prime is 13111033302229. The next prime is 13111033302329. The reversal of 13111033302313 is 31320333011131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12616505088784 + 494528213529 = 3551972^2 + 703227^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111033302313 - 2³³ = 13102443367721 is a prime.

It is a super-2 number, since 2×13111033302313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13111033302113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555516651156 + 6555516651157.

It is an arithmetic number, because the mean of its divisors is an integer number (6555516651157).

Almost surely, 2^{13111033302313} is an apocalyptic number.

It is an amenable number.

13111033302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111033302313 is an equidigital number, since it uses as much as digits as its factorization.

13111033302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13111033302313 its reverse (31320333011131), we get a palindrome (44431366313444).

The spelling of 13111033302313 in words is "thirteen trillion, one hundred eleven billion, thirty-three million, three hundred two thousand, three hundred thirteen".