13200223112117 has 2 divisors, whose sum is σ = 13200223112118. Its totient is φ = 13200223112116.

The previous prime is 13200223112107. The next prime is 13200223112137. The reversal of 13200223112117 is 71121132200231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10872114749521 + 2328108362596 = 3297289^2 + 1525814^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200223112117 - 2⁶ = 13200223112053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200223112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600111556058 + 6600111556059.

It is an arithmetic number, because the mean of its divisors is an integer number (6600111556059).

Almost surely, 2^{13200223112117} is an apocalyptic number.

It is an amenable number.

13200223112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200223112117 is an equidigital number, since it uses as much as digits as its factorization.

13200223112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 13200223112117 its reverse (71121132200231), we get a palindrome (84321355312348).

The spelling of 13200223112117 in words is "thirteen trillion, two hundred billion, two hundred twenty-three million, one hundred twelve thousand, one hundred seventeen".