111131328 has 112 divisors (see below), whose sum is σ = 366637824. Its totient is φ = 28861440.

The previous prime is 111131327. The next prime is 111131333. The reversal of 111131328 is 823131111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111131327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11026 + ... + 18542.

It is an arithmetic number, because the mean of its divisors is an integer number (3273552).

Almost surely, 2^111131328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183318912).

111131328 is an abundant number, since it is smaller than the sum of its proper divisors (255506496).

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

111131328 is a wasteful number, since it uses less digits than its factorization.

111131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7540 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 111131328 is about 10541.8844615183. The cubic root of 111131328 is about 480.7790128002.

Adding to 111131328 its reverse (823131111), we get a palindrome (934262439).

The spelling of 111131328 in words is "one hundred eleven million, one hundred thirty-one thousand, three hundred twenty-eight".