13200013030117 has 2 divisors, whose sum is σ = 13200013030118. Its totient is φ = 13200013030116.

The previous prime is 13200013029979. The next prime is 13200013030123. The reversal of 13200013030117 is 71103031000231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11789272469601 + 1410740560516 = 3433551^2 + 1187746^2 .

It is an emirp because it is prime and its reverse (71103031000231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13200013030117 is a prime.

It is a super-3 number, since 3×13200013030117³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200013030517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600006515058 + 6600006515059.

It is an arithmetic number, because the mean of its divisors is an integer number (6600006515059).

Almost surely, 2^{13200013030117} is an apocalyptic number.

It is an amenable number.

13200013030117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200013030117 is an equidigital number, since it uses as much as digits as its factorization.

13200013030117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 13200013030117 its reverse (71103031000231), we get a palindrome (84303044030348).

The spelling of 13200013030117 in words is "thirteen trillion, two hundred billion, thirteen million, thirty thousand, one hundred seventeen".