2012013 has 16 divisors (see below), whose sum is σ = 3051840. Its totient is φ = 1309392.

The previous prime is 2012011. The next prime is 2012027. The reversal of 2012013 is 3102102.

It is a happy number.

It is not a de Polignac number, because 2012013 - 2¹ = 2012011 is a prime.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2011986 and 2012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (190740).

2^2012013 is an apocalyptic number.

It is an amenable number.

2012013 is a deficient number, since it is larger than the sum of its proper divisors (1039827).

2012013 is a wasteful number, since it uses less digits than its factorization.

2012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2012013 is about 1418.4544405796. The cubic root of 2012013 is about 126.2438588001.

Adding to 2012013 its reverse (3102102), we get a palindrome (5114115).

The spelling of 2012013 in words is "two million, twelve thousand, thirteen".