13125252302413 has 2 divisors, whose sum is σ = 13125252302414. Its totient is φ = 13125252302412.

The previous prime is 13125252302341. The next prime is 13125252302473. The reversal of 13125252302413 is 31420325252131.

Together with previous prime (13125252302341) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11817767539204 + 1307484763209 = 3437698^2 + 1143453^2 .

It is a cyclic number.

It is not a de Polignac number, because 13125252302413 - 2⁹ = 13125252301901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13125252302473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562626151206 + 6562626151207.

It is an arithmetic number, because the mean of its divisors is an integer number (6562626151207).

Almost surely, 2^{13125252302413} is an apocalyptic number.

It is an amenable number.

13125252302413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125252302413 is an equidigital number, since it uses as much as digits as its factorization.

13125252302413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 13125252302413 its reverse (31420325252131), we get a palindrome (44545577554544).

The spelling of 13125252302413 in words is "thirteen trillion, one hundred twenty-five billion, two hundred fifty-two million, three hundred two thousand, four hundred thirteen".