100111113 has 16 divisors (see below), whose sum is σ = 157037760. Its totient is φ = 62814528.

The previous prime is 100111087. The next prime is 100111127. The reversal of 100111113 is 311111001.

It is not a de Polignac number, because 100111113 - 2⁶ = 100111049 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 = 100111095 and 100111104.

It is not an unprimeable number, because it can be changed into a prime (100116113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108595 + ... + 109512.

It is an arithmetic number, because the mean of its divisors is an integer number (9814860).

Almost surely, 2^100111113 is an apocalyptic number.

It is an amenable number.

100111113 is a deficient number, since it is larger than the sum of its proper divisors (56926647).

100111113 is a wasteful number, since it uses less digits than its factorization.

100111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218133 (or 218127 counting only the distinct ones).

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

The square root of 100111113 is about 10005.5541075944. The cubic root of 100111113 is about 464.3307333478.

Adding to 100111113 its reverse (311111001), we get a palindrome (411222114).

The spelling of 100111113 in words is "one hundred million, one hundred eleven thousand, one hundred thirteen".