13301141103137 has 2 divisors, whose sum is σ = 13301141103138. Its totient is φ = 13301141103136.

The previous prime is 13301141103059. The next prime is 13301141103149. The reversal of 13301141103137 is 73130114110331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10281744858256 + 3019396244881 = 3206516^2 + 1737641^2 .

It is an emirp because it is prime and its reverse (73130114110331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13301141103137 - 2²⁴ = 13301124325921 is a prime.

It is not a weakly prime, because it can be changed into another prime (13301141183137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650570551568 + 6650570551569.

It is an arithmetic number, because the mean of its divisors is an integer number (6650570551569).

Almost surely, 2^{13301141103137} is an apocalyptic number.

It is an amenable number.

13301141103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301141103137 is an equidigital number, since it uses as much as digits as its factorization.

13301141103137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 13301141103137 its reverse (73130114110331), we get a palindrome (86431255213468).

The spelling of 13301141103137 in words is "thirteen trillion, three hundred one billion, one hundred forty-one million, one hundred three thousand, one hundred thirty-seven".