113311220 has 48 divisors (see below), whose sum is σ = 260922816. Its totient is φ = 40992000.

The previous prime is 113311213. The next prime is 113311223. The reversal of 113311220 is 22113311.

It is a junction number, because it is equal to n+sod(n) for n = 113311195 and 113311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311223) 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, 45200 + ... + 47640.

It is an arithmetic number, because the mean of its divisors is an integer number (5435892).

Almost surely, 2^113311220 is an apocalyptic number.

113311220 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 113311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130461408).

113311220 is an abundant number, since it is smaller than the sum of its proper divisors (147611596).

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

113311220 is a wasteful number, since it uses less digits than its factorization.

113311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113311220 is about 10644.7743047939. The cubic root of 113311220 is about 483.9022467245.

Adding to 113311220 its reverse (22113311), we get a palindrome (135424531).

The spelling of 113311220 in words is "one hundred thirteen million, three hundred eleven thousand, two hundred twenty".