2113322112 has 144 divisors (see below), whose sum is σ = 6684849990. Its totient is φ = 640358400.

The previous prime is 2113322093. The next prime is 2113322119. The reversal of 2113322112 is 2112233112.

It can be written as a sum of positive squares in only one way, i.e., 1761984576 + 351337536 = 41976^2 + 18744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2113322112² = 8932260698136281088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2113322119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131812 + ... + 146972.

Almost surely, 2^2113322112 is an apocalyptic number.

2113322112 is a gapful number since it is divisible by the number (22) 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 2113322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342424995).

2113322112 is an abundant number, since it is smaller than the sum of its proper divisors (4571527878).

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

2113322112 is a wasteful number, since it uses less digits than its factorization.

2113322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15203 (or 15177 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2113322112 is about 45970.8833067193. The cubic root of 2113322112 is about 1283.2813983518.

Adding to 2113322112 its reverse (2112233112), we get a palindrome (4225555224).

It can be divided in two parts, 211332 and 2112, that added together give a square (213444 = 462²).

The spelling of 2113322112 in words is "two billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred twelve".