113322311322112 has 80 divisors (see below), whose sum is σ = 238360632380640. Its totient is φ = 53674411511808.

The previous prime is 113322311322107. The next prime is 113322311322119. The reversal of 113322311322112 is 211223113223311.

113322311322112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113322311322112³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113322311322119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114951358 + ... + 115932994.

It is an arithmetic number, because the mean of its divisors is an integer number (2979507904758).

Almost surely, 2^{113322311322112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180316190320).

113322311322112 is an abundant number, since it is smaller than the sum of its proper divisors (125038321058528).

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

113322311322112 is an equidigital number, since it uses as much as digits as its factorization.

113322311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993541 (or 993525 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

Adding to 113322311322112 its reverse (211223113223311), we get a palindrome (324545424545423).

The spelling of 113322311322112 in words is "one hundred thirteen trillion, three hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".