110113 has 4 divisors (see below), whose sum is σ = 113940. Its totient is φ = 106288.

The previous prime is 110083. The next prime is 110119. The reversal of 110113 is 311011.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311011 = 19 ⋅16369.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 88209 = 148^2 + 297^2 .

It is a cyclic number.

It is not a de Polignac number, because 110113 - 2¹³ = 101921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110096 and 110105.

It is not an unprimeable number, because it can be changed into a prime (110119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1870 + ... + 1927.

It is an arithmetic number, because the mean of its divisors is an integer number (28485).

2¹¹⁰¹¹³ is an apocalyptic number.

It is an amenable number.

110113 is a deficient number, since it is larger than the sum of its proper divisors (3827).

110113 is an equidigital number, since it uses as much as digits as its factorization.

110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826.

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

The square root of 110113 is about 331.8327892177. The cubic root of 110113 is about 47.9305999388.

Adding to 110113 its reverse (311011), we get a palindrome (421124).

It can be divided in two parts, 11011 and 3, that multiplied together give a palindrome (33033).

The spelling of 110113 in words is "one hundred ten thousand, one hundred thirteen".