13057103819 has 2 divisors, whose sum is σ = 13057103820. Its totient is φ = 13057103818.

The previous prime is 13057103809. The next prime is 13057103833. The reversal of 13057103819 is 91830175031.

13057103819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13057103819 - 2⁴ = 13057103803 is a prime.

It is a super-2 number, since 2×13057103819² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13057103809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528551909 + 6528551910.

It is an arithmetic number, because the mean of its divisors is an integer number (6528551910).

Almost surely, 2^13057103819 is an apocalyptic number.

13057103819 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057103819 is an equidigital number, since it uses as much as digits as its factorization.

13057103819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 13057103819 in words is "thirteen billion, fifty-seven million, one hundred three thousand, eight hundred nineteen".