110313310120 has 96 divisors (see below), whose sum is σ = 273173330520. Its totient is φ = 40063196160.

The previous prime is 110313310111. The next prime is 110313310157. The reversal of 110313310120 is 21013313011.

It can be written as a sum of positive squares in 12 ways, for example, as 38350955556 + 71962354564 = 195834^2 + 268258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110313310094 and 110313310103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278602 + ... + 546118.

Almost surely, 2^110313310120 is an apocalyptic number.

110313310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110313310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136586665260).

110313310120 is an abundant number, since it is smaller than the sum of its proper divisors (162860020400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110313310120 is a wasteful number, since it uses less digits than its factorization.

110313310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267615 (or 267598 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110313310120 its reverse (21013313011), we get a palindrome (131326623131).

The spelling of 110313310120 in words is "one hundred ten billion, three hundred thirteen million, three hundred ten thousand, one hundred twenty".