111311013120 has 288 divisors, whose sum is σ = 366420456192. Its totient is φ = 28776923136.

The previous prime is 111311013061. The next prime is 111311013167. The reversal of 111311013120 is 21310113111.

111311013120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111311013120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44469789 + ... + 44472291.

Almost surely, 2^111311013120 is an apocalyptic number.

111311013120 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 111311013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183210228096).

111311013120 is an abundant number, since it is smaller than the sum of its proper divisors (255109443072).

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

111311013120 is a wasteful number, since it uses less digits than its factorization.

111311013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 111311013120 its reverse (21310113111), we get a palindrome (132621126231).

Subtracting from 111311013120 its reverse (21310113111), we obtain a palindrome (90000900009).

The spelling of 111311013120 in words is "one hundred eleven billion, three hundred eleven million, thirteen thousand, one hundred twenty".