2011000113 has 6 divisors (see below), whose sum is σ = 2904777954. Its totient is φ = 1340666736.

The previous prime is 2011000097. The next prime is 2011000127. The reversal of 2011000113 is 3110001102.

It can be written as a sum of positive squares in only one way, i.e., 1842727329 + 168272784 = 42927^2 + 12972^2 .

It is not a de Polignac number, because 2011000113 - 2⁴ = 2011000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 223444457 = 2011000113 / (2 + 0 + 1 + 1 + 0 + 0 + 0 + 1 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 2011000095 and 2011000104.

It is not an unprimeable number, because it can be changed into a prime (2011008113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111722220 + ... + 111722237.

It is an arithmetic number, because the mean of its divisors is an integer number (484129659).

Almost surely, 2^2011000113 is an apocalyptic number.

It is an amenable number.

2011000113 is a deficient number, since it is larger than the sum of its proper divisors (893777841).

2011000113 is a wasteful number, since it uses less digits than its factorization.

2011000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223444463 (or 223444460 counting only the distinct ones).

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

The square root of 2011000113 is about 44844.1759094757. The cubic root of 2011000113 is about 1262.2267069525.

Adding to 2011000113 its reverse (3110001102), we get a palindrome (5121001215).

The spelling of 2011000113 in words is "two billion, eleven million, one hundred thirteen", and thus it is an aban number.