11113968013 has 2 divisors, whose sum is σ = 11113968014. Its totient is φ = 11113968012.

The previous prime is 11113967989. The next prime is 11113968029. The reversal of 11113968013 is 31086931111.

11113968013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7109356489 + 4004611524 = 84317^2 + 63282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11113968013 is a prime.

It is a super-3 number, since 3×11113968013³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11113968013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11113168013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556984006 + 5556984007.

It is an arithmetic number, because the mean of its divisors is an integer number (5556984007).

Almost surely, 2^11113968013 is an apocalyptic number.

It is an amenable number.

11113968013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113968013 is an equidigital number, since it uses as much as digits as its factorization.

11113968013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 11113968013 in words is "eleven billion, one hundred thirteen million, nine hundred sixty-eight thousand, thirteen".