2011013 has 4 divisors (see below), whose sum is σ = 2023980. Its totient is φ = 1998048.

The previous prime is 2011003. The next prime is 2011019. The reversal of 2011013 is 3101102.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3101102 = 2 ⋅1550551.

It can be written as a sum of positive squares in 2 ways, for example, as 611524 + 1399489 = 782^2 + 1183^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011013 - 2¹⁰ = 2009989 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 (2011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6248 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (505995).

2^2011013 is an apocalyptic number.

It is an amenable number.

2011013 is a deficient number, since it is larger than the sum of its proper divisors (12967).

2011013 is a wasteful number, since it uses less digits than its factorization.

2011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966.

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

The square root of 2011013 is about 1418.1019004289. The cubic root of 2011013 is about 126.2229403170. Note that the first 3 decimals are identical.

Adding to 2011013 its reverse (3101102), we get a palindrome (5112115).

The spelling of 2011013 in words is "two million, eleven thousand, thirteen".