2011101330 has 128 divisors (see below), whose sum is σ = 5786836992. Its totient is φ = 437660928.

The previous prime is 2011101319. The next prime is 2011101349. The reversal of 2011101330 is 331011102.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362437 + ... + 367943.

It is an arithmetic number, because the mean of its divisors is an integer number (45209664).

Almost surely, 2^2011101330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893418496).

2011101330 is an abundant number, since it is smaller than the sum of its proper divisors (3775735662).

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

2011101330 is a wasteful number, since it uses less digits than its factorization.

2011101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2011101330 is about 44845.3044364736. The cubic root of 2011101330 is about 1262.2478832578.

Adding to 2011101330 its reverse (331011102), we get a palindrome (2342112432).

The spelling of 2011101330 in words is "two billion, eleven million, one hundred one thousand, three hundred thirty".