110101113 has 48 divisors (see below), whose sum is σ = 173549376. Its totient is φ = 69672960.

The previous prime is 110101097. The next prime is 110101151. The reversal of 110101113 is 311101011.

It is not a de Polignac number, because 110101113 - 2⁴ = 110101097 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 110101095 and 110101104.

It is not an unprimeable number, because it can be changed into a prime (110101513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428281 + ... + 428537.

It is an arithmetic number, because the mean of its divisors is an integer number (3615612).

Almost surely, 2^110101113 is an apocalyptic number.

It is an amenable number.

110101113 is a deficient number, since it is larger than the sum of its proper divisors (63448263).

110101113 is an equidigital number, since it uses as much as digits as its factorization.

110101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

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

The square root of 110101113 is about 10492.9077476170. The cubic root of 110101113 is about 479.2887513024.

Adding to 110101113 its reverse (311101011), we get a palindrome (421202124).

The spelling of 110101113 in words is "one hundred ten million, one hundred one thousand, one hundred thirteen".