13113013220017 has 2 divisors, whose sum is σ = 13113013220018. Its totient is φ = 13113013220016.

The previous prime is 13113013219979. The next prime is 13113013220071. The reversal of 13113013220017 is 71002231031131.

Together with next prime (13113013220071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8720451147681 + 4392562072336 = 2953041^2 + 2095844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13113013220017 is a prime.

It is a super-2 number, since 2×13113013220017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13113013219973 and 13113013220000.

It is not a weakly prime, because it can be changed into another prime (13113013230017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556506610008 + 6556506610009.

It is an arithmetic number, because the mean of its divisors is an integer number (6556506610009).

Almost surely, 2^{13113013220017} is an apocalyptic number.

It is an amenable number.

13113013220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113013220017 is an equidigital number, since it uses as much as digits as its factorization.

13113013220017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 13113013220017 its reverse (71002231031131), we get a palindrome (84115244251148).

The spelling of 13113013220017 in words is "thirteen trillion, one hundred thirteen billion, thirteen million, two hundred twenty thousand, seventeen".