13103121311009 has 2 divisors, whose sum is σ = 13103121311010. Its totient is φ = 13103121311008.

The previous prime is 13103121310963. The next prime is 13103121311023. The reversal of 13103121311009 is 90011312130131.

13103121311009 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., 10059858505984 + 3043262805025 = 3171728^2 + 1744495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13103121311009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13103121311089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551560655504 + 6551560655505.

It is an arithmetic number, because the mean of its divisors is an integer number (6551560655505).

Almost surely, 2^{13103121311009} is an apocalyptic number.

It is an amenable number.

13103121311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13103121311009 is an equidigital number, since it uses as much as digits as its factorization.

13103121311009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 13103121311009 in words is "thirteen trillion, one hundred three billion, one hundred twenty-one million, three hundred eleven thousand, nine".