11113113013 has 2 divisors, whose sum is σ = 11113113014. Its totient is φ = 11113113012.

The previous prime is 11113113007. The next prime is 11113113019. The reversal of 11113113013 is 31031131111.

11113113013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11113113007) and next prime (11113113019).

It can be written as a sum of positive squares in only one way, i.e., 9138021649 + 1975091364 = 95593^2 + 44442^2 .

It is a cyclic number.

It is not a de Polignac number, because 11113113013 - 2³³ = 2523178421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11113113019) 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, 5556556506 + 5556556507.

It is an arithmetic number, because the mean of its divisors is an integer number (5556556507).

Almost surely, 2^11113113013 is an apocalyptic number.

It is an amenable number.

11113113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113113013 is an equidigital number, since it uses as much as digits as its factorization.

11113113013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 11113113013 its reverse (31031131111), we get a palindrome (42144244124).

The spelling of 11113113013 in words is "eleven billion, one hundred thirteen million, one hundred thirteen thousand, thirteen".