2011000013 has 8 divisors (see below), whose sum is σ = 2196748416. Its totient is φ = 1825740000.

The previous prime is 2011000007. The next prime is 2011000081. The reversal of 2011000013 is 3100001102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011000013 - 2¹⁰ = 2010998989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113456 + ... + 129977.

It is an arithmetic number, because the mean of its divisors is an integer number (274593552).

Almost surely, 2^2011000013 is an apocalyptic number.

It is an amenable number.

2011000013 is a deficient number, since it is larger than the sum of its proper divisors (185748403).

2011000013 is a wasteful number, since it uses less digits than its factorization.

2011000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244195.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2011000013 is about 44844.1747945037. The cubic root of 2011000013 is about 1262.2266860305.

Adding to 2011000013 its reverse (3100001102), we get a palindrome (5111001115).

The spelling of 2011000013 in words is "two billion, eleven million, thirteen", and thus it is an aban number and an uban number.