110000110113 has 12 divisors (see below), whose sum is σ = 163183347028. Its totient is φ = 71351422560.

The previous prime is 110000110097. The next prime is 110000110117. The reversal of 110000110113 is 311011000011.

It can be written as a sum of positive squares in 2 ways, for example, as 107015345424 + 2984764689 = 327132^2 + 54633^2 .

It is not a de Polignac number, because 110000110113 - 2⁴ = 110000110097 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 = 110000110095 and 110000110104.

It is not an unprimeable number, because it can be changed into a prime (110000110117) 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, 165164998 + ... + 165165663.

Almost surely, 2^110000110113 is an apocalyptic number.

It is an amenable number.

110000110113 is a deficient number, since it is larger than the sum of its proper divisors (53183236915).

110000110113 is a wasteful number, since it uses less digits than its factorization.

110000110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330330704 (or 330330701 counting only the distinct ones).

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

Adding to 110000110113 its reverse (311011000011), we get a palindrome (421011110124).

The spelling of 110000110113 in words is "one hundred ten billion, one hundred ten thousand, one hundred thirteen".