110120013 has 32 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 71092080.

The previous prime is 110120011. The next prime is 110120039. The reversal of 110120013 is 310021011.

It is not a de Polignac number, because 110120013 - 2¹ = 110120011 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 = 110119977 and 110120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135378 + ... + 136188.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2^110120013 is an apocalyptic number.

It is an amenable number.

110120013 is a deficient number, since it is larger than the sum of its proper divisors (58256307).

110120013 is a wasteful number, since it uses less digits than its factorization.

110120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110120013 is about 10493.8083172888. The cubic root of 110120013 is about 479.3161746980.

Adding to 110120013 its reverse (310021011), we get a palindrome (420141024).

The spelling of 110120013 in words is "one hundred ten million, one hundred twenty thousand, thirteen".