113333220 has 576 divisors, whose sum is σ = 501935616. Its totient is φ = 19906560.

The previous prime is 113333177. The next prime is 113333221. The reversal of 113333220 is 22333311.

113333220 is a `hidden beast` number, since 11 + 333 + 322 + 0 = 666.

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 = 113333193 and 113333202.

It is not an unprimeable number, because it can be changed into a prime (113333221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3063042 + ... + 3063078.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^113333220 is an apocalyptic number.

113333220 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 113333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

113333220 is an abundant number, since it is smaller than the sum of its proper divisors (388602396).

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

113333220 is a wasteful number, since it uses less digits than its factorization.

113333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

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

The square root of 113333220 is about 10645.8076255397. The cubic root of 113333220 is about 483.9335621303.

Adding to 113333220 its reverse (22333311), we get a palindrome (135666531).

Subtracting from 113333220 its reverse (22333311), we obtain a palindrome (90999909).

It can be divided in two parts, 113 and 333220, that added together give a palindrome (333333).

The spelling of 113333220 in words is "one hundred thirteen million, three hundred thirty-three thousand, two hundred twenty".