2013012 has 72 divisors (see below), whose sum is σ = 5605600. Its totient is φ = 629856.

The previous prime is 2013001. The next prime is 2013013. The reversal of 2013012 is 2103102.

It is a happy number.

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 = 2012985 and 2013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013013) 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 23 ways as a sum of consecutive naturals, for example, 18414 + ... + 18522.

2^2013012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802800).

2013012 is an abundant number, since it is smaller than the sum of its proper divisors (3592588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013012 is a wasteful number, since it uses less digits than its factorization.

2013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

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

The square root of 2013012 is about 1418.8065407236. The cubic root of 2013012 is about 126.2647494450.

Adding to 2013012 its reverse (2103102), we get a palindrome (4116114).

The spelling of 2013012 in words is "two million, thirteen thousand, twelve".