111111113 has 2 divisors, whose sum is σ = 111111114. Its totient is φ = 111111112.

The previous prime is 111111109. The next prime is 111111131. The reversal of 111111113 is 311111111.

Together with next prime (111111131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60031504 + 51079609 = 7748^2 + 7147^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111113 - 2² = 111111109 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 111111094 and 111111103.

It is not a weakly prime, because it can be changed into another prime (111111163) 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, 55555556 + 55555557.

It is an arithmetic number, because the mean of its divisors is an integer number (55555557).

Almost surely, 2^111111113 is an apocalyptic number.

It is an amenable number.

111111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111113 is an equidigital number, since it uses as much as digits as its factorization.

111111113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3, while the sum is 11.

The square root of 111111113 is about 10540.9256234925. The cubic root of 111111113 is about 480.7498594934.

Adding to 111111113 its reverse (311111111), we get a palindrome (422222224).

It can be divided in two parts, 11111111 and 3, that multiplied together give a palindrome (33333333).

The spelling of 111111113 in words is "one hundred eleven million, one hundred eleven thousand, one hundred thirteen".