113220 has 72 divisors (see below), whose sum is σ = 373464. Its totient is φ = 27648.

The previous prime is 113213. The next prime is 113227. The reversal of 113220 is 22311.

113220 = T₅₉ + T₆₀ + ... + T₉₅.

It is a happy number.

113220 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (113213) and next prime (113227).

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 66564 = 216^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113227) by changing a digit.

113220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3042 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2¹¹³²²⁰ is an apocalyptic number.

113220 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 113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

113220 is an abundant number, since it is smaller than the sum of its proper divisors (260244).

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

113220 is a wasteful number, since it uses less digits than its factorization.

113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113220 is about 336.4817974274. The cubic root of 113220 is about 48.3772358400.

Adding to 113220 its reverse (22311), we get a palindrome (135531).

Subtracting from 113220 its reverse (22311), we obtain a palindrome (90909).

It can be divided in two parts, 113 and 220, that added together give a palindrome (333).

The spelling of 113220 in words is "one hundred thirteen thousand, two hundred twenty".