13311011113 has 2 divisors, whose sum is σ = 13311011114. Its totient is φ = 13311011112.

The previous prime is 13311011093. The next prime is 13311011149. The reversal of 13311011113 is 31111011331.

13311011113 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., 6900126489 + 6410884624 = 83067^2 + 80068^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311011113 - 2¹⁷ = 13310880041 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311011213) 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, 6655505556 + 6655505557.

It is an arithmetic number, because the mean of its divisors is an integer number (6655505557).

Almost surely, 2^13311011113 is an apocalyptic number.

It is an amenable number.

13311011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311011113 is an equidigital number, since it uses as much as digits as its factorization.

13311011113 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 13311011113 its reverse (31111011331), we get a palindrome (44422022444).

The spelling of 13311011113 in words is "thirteen billion, three hundred eleven million, eleven thousand, one hundred thirteen".