13000002137 has 2 divisors, whose sum is σ = 13000002138. Its totient is φ = 13000002136.

The previous prime is 13000002107. The next prime is 13000002181. The reversal of 13000002137 is 73120000031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10637653321 + 2362348816 = 103139^2 + 48604^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000002137 - 2¹⁸ = 12999739993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000002107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500001068 + 6500001069.

It is an arithmetic number, because the mean of its divisors is an integer number (6500001069).

Almost surely, 2^13000002137 is an apocalyptic number.

It is an amenable number.

13000002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000002137 is an equidigital number, since it uses as much as digits as its factorization.

13000002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

Adding to 13000002137 its reverse (73120000031), we get a palindrome (86120002168).

The spelling of 13000002137 in words is "thirteen billion, two thousand, one hundred thirty-seven".