13086137 has 2 divisors, whose sum is σ = 13086138. Its totient is φ = 13086136.

The previous prime is 13086133. The next prime is 13086169. The reversal of 13086137 is 73168031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 241081 = 3584^2 + 491^2 .

It is a cyclic number.

It is not a de Polignac number, because 13086137 - 2² = 13086133 is a prime.

It is a Chen prime.

It is equal to p₈₅₄₄₆₂ and since 13086137 and 854462 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13086131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6543068 + 6543069.

It is an arithmetic number, because the mean of its divisors is an integer number (6543069).

Almost surely, 2^13086137 is an apocalyptic number.

It is an amenable number.

13086137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13086137 is an equidigital number, since it uses as much as digits as its factorization.

13086137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 13086137 is about 3617.4766066970. The cubic root of 13086137 is about 235.6516513979.

The spelling of 13086137 in words is "thirteen million, eighty-six thousand, one hundred thirty-seven".