13310032122137 has 2 divisors, whose sum is σ = 13310032122138. Its totient is φ = 13310032122136.

The previous prime is 13310032122053. The next prime is 13310032122143. The reversal of 13310032122137 is 73122123001331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13244278854361 + 65753267776 = 3639269^2 + 256424^2 .

It is an emirp because it is prime and its reverse (73122123001331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13310032122137 - 2²⁰ = 13310031073561 is a prime.

It is a super-3 number, since 3×13310032122137³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13310032122157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655016061068 + 6655016061069.

It is an arithmetic number, because the mean of its divisors is an integer number (6655016061069).

Almost surely, 2^{13310032122137} is an apocalyptic number.

It is an amenable number.

13310032122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310032122137 is an equidigital number, since it uses as much as digits as its factorization.

13310032122137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 13310032122137 its reverse (73122123001331), we get a palindrome (86432155123468).

The spelling of 13310032122137 in words is "thirteen trillion, three hundred ten billion, thirty-two million, one hundred twenty-two thousand, one hundred thirty-seven".