2012000113 has 2 divisors, whose sum is σ = 2012000114. Its totient is φ = 2012000112.

The previous prime is 2012000083. The next prime is 2012000129. The reversal of 2012000113 is 3110002102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1686991329 + 325008784 = 41073^2 + 18028^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012000113 - 2²⁵ = 1978445681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2012000113.

It is not a weakly prime, because it can be changed into another prime (2012001113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006000056 + 1006000057.

It is an arithmetic number, because the mean of its divisors is an integer number (1006000057).

Almost surely, 2^2012000113 is an apocalyptic number.

It is an amenable number.

2012000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012000113 is an equidigital number, since it uses as much as digits as its factorization.

2012000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2012000113 is about 44855.3242436168. The cubic root of 2012000113 is about 1262.4358926766.

Adding to 2012000113 its reverse (3110002102), we get a palindrome (5122002215).

The spelling of 2012000113 in words is "two billion, twelve million, one hundred thirteen", and thus it is an aban number.