13408137137 has 2 divisors, whose sum is σ = 13408137138. Its totient is φ = 13408137136.

The previous prime is 13408137131. The next prime is 13408137139. The reversal of 13408137137 is 73173180431.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8032461376 + 5375675761 = 89624^2 + 73319^2 .

It is a cyclic number.

It is not a de Polignac number, because 13408137137 - 2⁸ = 13408136881 is a prime.

Together with 13408137139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13408137137.

It is not a weakly prime, because it can be changed into another prime (13408137131) 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, 6704068568 + 6704068569.

It is an arithmetic number, because the mean of its divisors is an integer number (6704068569).

Almost surely, 2^13408137137 is an apocalyptic number.

It is an amenable number.

13408137137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13408137137 is an equidigital number, since it uses as much as digits as its factorization.

13408137137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 13408137137 in words is "thirteen billion, four hundred eight million, one hundred thirty-seven thousand, one hundred thirty-seven".