110000111113 has 2 divisors, whose sum is σ = 110000111114. Its totient is φ = 110000111112.

The previous prime is 110000111077. The next prime is 110000111153. The reversal of 110000111113 is 311111000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78631450569 + 31368660544 = 280413^2 + 177112^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000111113 - 2²⁵ = 109966556681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110000111113.

It is not a weakly prime, because it can be changed into another prime (110000111153) 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, 55000055556 + 55000055557.

It is an arithmetic number, because the mean of its divisors is an integer number (55000055557).

Almost surely, 2^110000111113 is an apocalyptic number.

It is an amenable number.

110000111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000111113 is an equidigital number, since it uses as much as digits as its factorization.

110000111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 110000111113 its reverse (311111000011), we get a palindrome (421111111124).

The spelling of 110000111113 in words is "one hundred ten billion, one hundred eleven thousand, one hundred thirteen".