2012000013 has 8 divisors (see below), whose sum is σ = 2980740800. Its totient is φ = 1341333324.

The previous prime is 2012000009. The next prime is 2012000033. The reversal of 2012000013 is 3100002102.

It is a happy number.

It is not a de Polignac number, because 2012000013 - 2² = 2012000009 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011999959 and 2012000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012000033) 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, 37259233 + ... + 37259286.

It is an arithmetic number, because the mean of its divisors is an integer number (372592600).

Almost surely, 2^2012000013 is an apocalyptic number.

It is an amenable number.

2012000013 is a deficient number, since it is larger than the sum of its proper divisors (968740787).

2012000013 is an equidigital number, since it uses as much as digits as its factorization.

2012000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74518528 (or 74518522 counting only the distinct ones).

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

The square root of 2012000013 is about 44855.3231289219. The cubic root of 2012000013 is about 1262.4358717615.

Adding to 2012000013 its reverse (3100002102), we get a palindrome (5112002115).

The spelling of 2012000013 in words is "two billion, twelve million, thirteen", and thus it is an aban number and an uban number.