111011113 has 2 divisors, whose sum is σ = 111011114. Its totient is φ = 111011112.

The previous prime is 111011083. The next prime is 111011119. The reversal of 111011113 is 311110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57032704 + 53978409 = 7552^2 + 7347^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011113 - 2¹⁷ = 110880041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111011113.

It is not a weakly prime, because it can be changed into another prime (111011119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505556 + 55505557.

It is an arithmetic number, because the mean of its divisors is an integer number (55505557).

Almost surely, 2^111011113 is an apocalyptic number.

It is an amenable number.

111011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011113 is an equidigital number, since it uses as much as digits as its factorization.

111011113 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.

The square root of 111011113 is about 10536.1811392933. The cubic root of 111011113 is about 480.6055912489.

Adding to 111011113 its reverse (311110111), we get a palindrome (422121224).

The spelling of 111011113 in words is "one hundred eleven million, eleven thousand, one hundred thirteen".