113322 has 32 divisors (see below), whose sum is σ = 264384. Its totient is φ = 32000.

The previous prime is 113287. The next prime is 113327. The reversal of 113322 is 223311.

It is a happy number.

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

It is a plaindrome in base 15.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 113298 and 113307.

It is not an unprimeable number, because it can be changed into a prime (113327) 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, 1072 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (8262).

2¹¹³³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192).

113322 is an abundant number, since it is smaller than the sum of its proper divisors (151062).

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

113322 is a wasteful number, since it uses less digits than its factorization.

113322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its digits is 36, while the sum is 12.

The square root of 113322 is about 336.6333316830. The cubic root of 113322 is about 48.3917591780.

Adding to 113322 its reverse (223311), we get a palindrome (336633).

It can be divided in two parts, 113 and 322, that added together give a triangular number (435 = T₂₉).

The spelling of 113322 in words is "one hundred thirteen thousand, three hundred twenty-two".