111100113 has 8 divisors (see below), whose sum is σ = 164592800. Its totient is φ = 74066724.

The previous prime is 111100061. The next prime is 111100123. The reversal of 111100113 is 311001111.

It is not a de Polignac number, because 111100113 - 2¹³ = 111091921 is a prime.

It is a super-2 number, since 2×111100113² = 24686470217225538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111100095 and 111100104.

It is not an unprimeable number, because it can be changed into a prime (111100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2057383 + ... + 2057436.

It is an arithmetic number, because the mean of its divisors is an integer number (20574100).

Almost surely, 2^111100113 is an apocalyptic number.

It is an amenable number.

111100113 is a deficient number, since it is larger than the sum of its proper divisors (53492687).

111100113 is an equidigital number, since it uses as much as digits as its factorization.

111100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114828 (or 4114822 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 111100113 is about 10540.4038347684. The cubic root of 111100113 is about 480.7339942247.

Adding to 111100113 its reverse (311001111), we get a palindrome (422101224).

The spelling of 111100113 in words is "one hundred eleven million, one hundred thousand, one hundred thirteen".