2011113330 has 128 divisors (see below), whose sum is σ = 5337446400. Its totient is φ = 482701824.

The previous prime is 2011113317. The next prime is 2011113337. The reversal of 2011113330 is 333111102.

It is a super-2 number, since 2×2011113330² = 8089153652207377800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2011113337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2346262 + ... + 2347118.

It is an arithmetic number, because the mean of its divisors is an integer number (41698800).

Almost surely, 2^2011113330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668723200).

2011113330 is an abundant number, since it is smaller than the sum of its proper divisors (3326333070).

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

2011113330 is a wasteful number, since it uses less digits than its factorization.

2011113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2011113330 is about 44845.4382295457. The cubic root of 2011113330 is about 1262.2503938133.

Adding to 2011113330 its reverse (333111102), we get a palindrome (2344224432).

The spelling of 2011113330 in words is "two billion, eleven million, one hundred thirteen thousand, three hundred thirty".