110000113 has 4 divisors (see below), whose sum is σ = 110306880. Its totient is φ = 109693348.

The previous prime is 110000083. The next prime is 110000117. The reversal of 110000113 is 311000011.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110000113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110000096 and 110000105.

It is not an unprimeable number, because it can be changed into a prime (110000117) 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 in 3 ways as a sum of consecutive naturals, for example, 152845 + ... + 153562.

It is an arithmetic number, because the mean of its divisors is an integer number (27576720).

Almost surely, 2^110000113 is an apocalyptic number.

It is an amenable number.

110000113 is a deficient number, since it is larger than the sum of its proper divisors (306767).

110000113 is an equidigital number, since it uses as much as digits as its factorization.

110000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306766.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 110000113 is about 10488.0938687638. The cubic root of 110000113 is about 479.1421497761.

Adding to 110000113 its reverse (311000011), we get a palindrome (421000124).

It can be divided in two parts, 11000011 and 3, that multiplied together give a palindrome (33000033).

The spelling of 110000113 in words is "one hundred ten million, one hundred thirteen", and thus it is an aban number.