13677165137 has 2 divisors, whose sum is σ = 13677165138. Its totient is φ = 13677165136.

The previous prime is 13677165109. The next prime is 13677165169. The reversal of 13677165137 is 73156177631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9497671936 + 4179493201 = 97456^2 + 64649^2 .

It is an emirp because it is prime and its reverse (73156177631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13677165137 - 2²⁰ = 13676116561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13677165091 and 13677165100.

It is not a weakly prime, because it can be changed into another prime (13677162137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6838582568 + 6838582569.

It is an arithmetic number, because the mean of its divisors is an integer number (6838582569).

Almost surely, 2^13677165137 is an apocalyptic number.

It is an amenable number.

13677165137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13677165137 is an equidigital number, since it uses as much as digits as its factorization.

13677165137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 555660, while the sum is 47.

The spelling of 13677165137 in words is "thirteen billion, six hundred seventy-seven million, one hundred sixty-five thousand, one hundred thirty-seven".