13023002000137 has 2 divisors, whose sum is σ = 13023002000138. Its totient is φ = 13023002000136.

The previous prime is 13023002000059. The next prime is 13023002000161. The reversal of 13023002000137 is 73100020032031.

It is a happy number.

13023002000137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10074967943881 + 2948034056256 = 3174109^2 + 1716984^2 .

It is an emirp because it is prime and its reverse (73100020032031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13023002000137 - 2³⁵ = 12988642261769 is a prime.

It is not a weakly prime, because it can be changed into another prime (13023002000237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511501000068 + 6511501000069.

It is an arithmetic number, because the mean of its divisors is an integer number (6511501000069).

Almost surely, 2^{13023002000137} is an apocalyptic number.

It is an amenable number.

13023002000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023002000137 is an equidigital number, since it uses as much as digits as its factorization.

13023002000137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 22.

Adding to 13023002000137 its reverse (73100020032031), we get a palindrome (86123022032168).

The spelling of 13023002000137 in words is "thirteen trillion, twenty-three billion, two million, one hundred thirty-seven", and thus it is an aban number.