11113566565513 has 2 divisors, whose sum is σ = 11113566565514. Its totient is φ = 11113566565512.

The previous prime is 11113566565511. The next prime is 11113566565603. The reversal of 11113566565513 is 31556566531111.

11113566565513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9845807666809 + 1267758898704 = 3137803^2 + 1125948^2 .

It is a cyclic number.

It is not a de Polignac number, because 11113566565513 - 2¹ = 11113566565511 is a prime.

It is a super-2 number, since 2×11113566565513² (a number of 27 digits) contains 22 as substring.

Together with 11113566565511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11113566565511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556783282756 + 5556783282757.

It is an arithmetic number, because the mean of its divisors is an integer number (5556783282757).

Almost surely, 2^{11113566565513} is an apocalyptic number.

It is an amenable number.

11113566565513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113566565513 is an equidigital number, since it uses as much as digits as its factorization.

11113566565513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1215000, while the sum is 49.

The spelling of 11113566565513 in words is "eleven trillion, one hundred thirteen billion, five hundred sixty-six million, five hundred sixty-five thousand, five hundred thirteen".