13167761137 has 2 divisors, whose sum is σ = 13167761138. Its totient is φ = 13167761136.

The previous prime is 13167761093. The next prime is 13167761143. The reversal of 13167761137 is 73116776131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12634659216 + 533101921 = 112404^2 + 23089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13167761137 is a prime.

It is a super-2 number, since 2×13167761137² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13167761093 and 13167761102.

It is not a weakly prime, because it can be changed into another prime (13167761147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6583880568 + 6583880569.

It is an arithmetic number, because the mean of its divisors is an integer number (6583880569).

Almost surely, 2^13167761137 is an apocalyptic number.

It is an amenable number.

13167761137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13167761137 is an equidigital number, since it uses as much as digits as its factorization.

13167761137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 111132, while the sum is 43.

The spelling of 13167761137 in words is "thirteen billion, one hundred sixty-seven million, seven hundred sixty-one thousand, one hundred thirty-seven".