110000101113 has 64 divisors (see below), whose sum is σ = 187050124800. Its totient is φ = 62585671680.

The previous prime is 110000101103. The next prime is 110000101147. The reversal of 110000101113 is 311101000011.

It is not a de Polignac number, because 110000101113 - 2⁶ = 110000101049 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 = 110000101095 and 110000101104.

It is not an unprimeable number, because it can be changed into a prime (110000101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51666433 + ... + 51668561.

It is an arithmetic number, because the mean of its divisors is an integer number (2922658200).

Almost surely, 2^110000101113 is an apocalyptic number.

It is an amenable number.

110000101113 is a deficient number, since it is larger than the sum of its proper divisors (77050023687).

110000101113 is a wasteful number, since it uses less digits than its factorization.

110000101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3193 counting only the distinct ones).

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

Adding to 110000101113 its reverse (311101000011), we get a palindrome (421101101124).

The spelling of 110000101113 in words is "one hundred ten billion, one hundred one thousand, one hundred thirteen".