11111111113 has 2 divisors, whose sum is σ = 11111111114. Its totient is φ = 11111111112.

The previous prime is 11111111059. The next prime is 11111111129. The reversal of 11111111113 is 31111111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7798302864 + 3312808249 = 88308^2 + 57557^2 .

It is an emirp because it is prime and its reverse (31111111111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11111111113 - 2⁹ = 11111110601 is a prime.

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11111111093 and 11111111102.

It is not a weakly prime, because it can be changed into another prime (11111111153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555555556 + 5555555557.

It is an arithmetic number, because the mean of its divisors is an integer number (5555555557).

Almost surely, 2^11111111113 is an apocalyptic number.

It is an amenable number.

11111111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111111113 is an equidigital number, since it uses as much as digits as its factorization.

11111111113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3, while the sum is 13.

Adding to 11111111113 its reverse (31111111111), we get a palindrome (42222222224).

It can be divided in two parts, 1111111111 and 3, that multiplied together give a palindrome (3333333333).

The spelling of 11111111113 in words is "eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred thirteen".