110311303120 has 80 divisors (see below), whose sum is σ = 262880281728. Its totient is φ = 43035379200.

The previous prime is 110311303117. The next prime is 110311303133. The reversal of 110311303120 is 21303113011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110311303094 and 110311303103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 439477 + ... + 643243.

Almost surely, 2^110311303120 is an apocalyptic number.

110311303120 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 110311303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131440140864).

110311303120 is an abundant number, since it is smaller than the sum of its proper divisors (152568978608).

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

110311303120 is a wasteful number, since it uses less digits than its factorization.

110311303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203948 (or 203942 counting only the distinct ones).

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

Adding to 110311303120 its reverse (21303113011), we get a palindrome (131614416131).

The spelling of 110311303120 in words is "one hundred ten billion, three hundred eleven million, three hundred three thousand, one hundred twenty".