2012113 has 2 divisors, whose sum is σ = 2012114. Its totient is φ = 2012112.

The previous prime is 2012093. The next prime is 2012123. The reversal of 2012113 is 3112102.

It is an a-pointer prime, because the next prime (2012123) can be obtained adding 2012113 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1468944 + 543169 = 1212^2 + 737^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012113 - 2⁹ = 2011601 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2012113.

It is not a weakly prime, because it can be changed into another prime (2012123) 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 as a sum of consecutive naturals, namely, 1006056 + 1006057.

It is an arithmetic number, because the mean of its divisors is an integer number (1006057).

2^2012113 is an apocalyptic number.

It is an amenable number.

2012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012113 is an equidigital number, since it uses as much as digits as its factorization.

2012113 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 2012113 is about 1418.4896897757. The cubic root of 2012113 is about 126.2459502671.

Adding to 2012113 its reverse (3112102), we get a palindrome (5124215).

The spelling of 2012113 in words is "two million, twelve thousand, one hundred thirteen".