13302311013137 has 2 divisors, whose sum is σ = 13302311013138. Its totient is φ = 13302311013136.

The previous prime is 13302311013133. The next prime is 13302311013151. The reversal of 13302311013137 is 73131011320331.

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., 11089226342401 + 2213084670736 = 3330049^2 + 1487644^2 .

It is a cyclic number.

It is not a de Polignac number, because 13302311013137 - 2² = 13302311013133 is a prime.

It is not a weakly prime, because it can be changed into another prime (13302311013133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651155506568 + 6651155506569.

It is an arithmetic number, because the mean of its divisors is an integer number (6651155506569).

Almost surely, 2^{13302311013137} is an apocalyptic number.

It is an amenable number.

13302311013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13302311013137 is an equidigital number, since it uses as much as digits as its factorization.

13302311013137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 13302311013137 its reverse (73131011320331), we get a palindrome (86433322333468).

The spelling of 13302311013137 in words is "thirteen trillion, three hundred two billion, three hundred eleven million, thirteen thousand, one hundred thirty-seven".