12513890151313 has 2 divisors, whose sum is σ = 12513890151314. Its totient is φ = 12513890151312.

The previous prime is 12513890151277. The next prime is 12513890151353. The reversal of 12513890151313 is 31315109831521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12268571033104 + 245319118209 = 3502652^2 + 495297^2 .

It is a cyclic number.

It is not a de Polignac number, because 12513890151313 - 2²⁹ = 12513353280401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12513890151313.

It is not a weakly prime, because it can be changed into another prime (12513890151353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256945075656 + 6256945075657.

It is an arithmetic number, because the mean of its divisors is an integer number (6256945075657).

Almost surely, 2^{12513890151313} is an apocalyptic number.

It is an amenable number.

12513890151313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12513890151313 is an equidigital number, since it uses as much as digits as its factorization.

12513890151313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 43.

Adding to 12513890151313 its reverse (31315109831521), we get a palindrome (43828999982834).

The spelling of 12513890151313 in words is "twelve trillion, five hundred thirteen billion, eight hundred ninety million, one hundred fifty-one thousand, three hundred thirteen".