13330020113117 has 2 divisors, whose sum is σ = 13330020113118. Its totient is φ = 13330020113116.

The previous prime is 13330020113089. The next prime is 13330020113149. The reversal of 13330020113117 is 71131102003331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12975743978596 + 354276134521 = 3602186^2 + 595211^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330020113117 - 2²⁰ = 13330019064541 is a prime.

It is a super-2 number, since 2×13330020113117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13330020113317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665010056558 + 6665010056559.

It is an arithmetic number, because the mean of its divisors is an integer number (6665010056559).

Almost surely, 2^{13330020113117} is an apocalyptic number.

It is an amenable number.

13330020113117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330020113117 is an equidigital number, since it uses as much as digits as its factorization.

13330020113117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 13330020113117 its reverse (71131102003331), we get a palindrome (84461122116448).

The spelling of 13330020113117 in words is "thirteen trillion, three hundred thirty billion, twenty million, one hundred thirteen thousand, one hundred seventeen".