13193820075125 has 16 divisors (see below), whose sum is σ = 16466207792112. Its totient is φ = 10554850715200.

The previous prime is 13193820075109. The next prime is 13193820075187. The reversal of 13193820075125 is 52157002839131.

It can be written as a sum of positive squares in 8 ways, for example, as 1665085705924 + 11528734369201 = 1290382^2 + 3395399^2 .

It is not a de Polignac number, because 13193820075125 - 2⁴ = 13193820075109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13193820075125.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 5594279 + ... + 7594971.

It is an arithmetic number, because the mean of its divisors is an integer number (1029137987007).

Almost surely, 2^{13193820075125} is an apocalyptic number.

It is an amenable number.

13193820075125 is a deficient number, since it is larger than the sum of its proper divisors (3272387716987).

13193820075125 is an equidigital number, since it uses as much as digits as its factorization.

13193820075125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053465 (or 2053455 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 13193820075125 in words is "thirteen trillion, one hundred ninety-three billion, eight hundred twenty million, seventy-five thousand, one hundred twenty-five".