13121306413 has 2 divisors, whose sum is σ = 13121306414. Its totient is φ = 13121306412.

The previous prime is 13121306381. The next prime is 13121306431. The reversal of 13121306413 is 31460312131.

Together with next prime (13121306431) 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., 13108647049 + 12659364 = 114493^2 + 3558^2 .

It is an emirp because it is prime and its reverse (31460312131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13121306413 - 2⁵ = 13121306381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121306213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560653206 + 6560653207.

It is an arithmetic number, because the mean of its divisors is an integer number (6560653207).

Almost surely, 2^13121306413 is an apocalyptic number.

It is an amenable number.

13121306413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121306413 is an equidigital number, since it uses as much as digits as its factorization.

13121306413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13121306413 its reverse (31460312131), we get a palindrome (44581618544).

The spelling of 13121306413 in words is "thirteen billion, one hundred twenty-one million, three hundred six thousand, four hundred thirteen".