113233320 has 96 divisors (see below), whose sum is σ = 377998920. Its totient is φ = 29376000.

The previous prime is 113233279. The next prime is 113233321. The reversal of 113233320 is 23332311.

113233320 is a `hidden beast` number, since 11 + 323 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88849476 + 24383844 = 9426^2 + 4938^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113233293 and 113233302.

It is not an unprimeable number, because it can be changed into a prime (113233321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9070 + ... + 17570.

Almost surely, 2^113233320 is an apocalyptic number.

113233320 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 113233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188999460).

113233320 is an abundant number, since it is smaller than the sum of its proper divisors (264765600).

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

113233320 is a wasteful number, since it uses less digits than its factorization.

113233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 113233320 is about 10641.1146032735. The cubic root of 113233320 is about 483.7913291212.

Adding to 113233320 its reverse (23332311), we get a palindrome (136565631).

The spelling of 113233320 in words is "one hundred thirteen million, two hundred thirty-three thousand, three hundred twenty".