110110113 has 12 divisors (see below), whose sum is σ = 163347028. Its totient is φ = 71422560.

The previous prime is 110110079. The next prime is 110110127. The reversal of 110110113 is 311011011.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 3359889 = 10332^2 + 1833^2 .

It is not a de Polignac number, because 110110113 - 2²⁵ = 76555681 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110095 and 110110104.

It is not an unprimeable number, because it can be changed into a prime (110110153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164998 + ... + 165663.

Almost surely, 2^110110113 is an apocalyptic number.

It is an amenable number.

110110113 is a deficient number, since it is larger than the sum of its proper divisors (53236915).

110110113 is a wasteful number, since it uses less digits than its factorization.

110110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330704 (or 330701 counting only the distinct ones).

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

The square root of 110110113 is about 10493.3365999571. The cubic root of 110110113 is about 479.3018104536.

Adding to 110110113 its reverse (311011011), we get a palindrome (421121124).

It can be divided in two parts, 11011011 and 3, that multiplied together give a palindrome (33033033).

The spelling of 110110113 in words is "one hundred ten million, one hundred ten thousand, one hundred thirteen".