2011300011 has 48 divisors (see below), whose sum is σ = 3475084800. Its totient is φ = 1146365136.

The previous prime is 2011299949. The next prime is 2011300019. The reversal of 2011300011 is 1100031102.

It is not a de Polignac number, because 2011300011 - 2¹⁰ = 2011298987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011299966 and 2011300002.

It is not an unprimeable number, because it can be changed into a prime (2011300019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579066 + ... + 582528.

It is an arithmetic number, because the mean of its divisors is an integer number (72397600).

Almost surely, 2^2011300011 is an apocalyptic number.

2011300011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011300011 is a deficient number, since it is larger than the sum of its proper divisors (1463784789).

2011300011 is a wasteful number, since it uses less digits than its factorization.

2011300011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011300011 is about 44847.5195635166. The cubic root of 2011300011 is about 1262.2894486114.

Adding to 2011300011 its reverse (1100031102), we get a palindrome (3111331113).

The spelling of 2011300011 in words is "two billion, eleven million, three hundred thousand, eleven".