13200135023093 has 2 divisors, whose sum is σ = 13200135023094. Its totient is φ = 13200135023092.

The previous prime is 13200135023041. The next prime is 13200135023143. The reversal of 13200135023093 is 39032053100231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13174163122129 + 25971900964 = 3629623^2 + 161158^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200135023093 - 2¹⁶ = 13200134957557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200135043093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600067511546 + 6600067511547.

It is an arithmetic number, because the mean of its divisors is an integer number (6600067511547).

Almost surely, 2^{13200135023093} is an apocalyptic number.

It is an amenable number.

13200135023093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200135023093 is an equidigital number, since it uses as much as digits as its factorization.

13200135023093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 32.

The spelling of 13200135023093 in words is "thirteen trillion, two hundred billion, one hundred thirty-five million, twenty-three thousand, ninety-three".