13193820509819 has 2 divisors, whose sum is σ = 13193820509820. Its totient is φ = 13193820509818.

The previous prime is 13193820509803. The next prime is 13193820509869. The reversal of 13193820509819 is 91890502839131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13193820509819 - 2⁴ = 13193820509803 is a prime.

It is a super-2 number, since 2×13193820509819² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13193820509869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6596910254909 + 6596910254910.

It is an arithmetic number, because the mean of its divisors is an integer number (6596910254910).

Almost surely, 2^{13193820509819} is an apocalyptic number.

13193820509819 is a deficient number, since it is larger than the sum of its proper divisors (1).

13193820509819 is an equidigital number, since it uses as much as digits as its factorization.

13193820509819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4199040, while the sum is 59.

The spelling of 13193820509819 in words is "thirteen trillion, one hundred ninety-three billion, eight hundred twenty million, five hundred nine thousand, eight hundred nineteen".