13193813132075 has 24 divisors (see below), whose sum is σ = 16511170486800. Its totient is φ = 10457741727360.

The previous prime is 13193813132047. The next prime is 13193813132117. The reversal of 13193813132075 is 57023131839131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-13193813132075 is a prime.

It is a super-2 number, since 2×13193813132075² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67818041 + ... + 68012309.

It is an arithmetic number, because the mean of its divisors is an integer number (687965436950).

Almost surely, 2^{13193813132075} is an apocalyptic number.

13193813132075 is a deficient number, since it is larger than the sum of its proper divisors (3317357354725).

13193813132075 is a wasteful number, since it uses less digits than its factorization.

13193813132075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219311 (or 219306 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 13193813132075 in words is "thirteen trillion, one hundred ninety-three billion, eight hundred thirteen million, one hundred thirty-two thousand, seventy-five".