2012111113 has 2 divisors, whose sum is σ = 2012111114. Its totient is φ = 2012111112.

The previous prime is 2012111111. The next prime is 2012111131. The reversal of 2012111113 is 3111112102.

It is a happy number.

Together with next prime (2012111131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1594644489 + 417466624 = 39933^2 + 20432^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012111113 - 2¹ = 2012111111 is a prime.

It is a super-2 number, since 2×2012111113² = 8097182262116197538, which contains 22 as substring.

Together with 2012111111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2012111093 and 2012111102.

It is not a weakly prime, because it can be changed into another prime (2012111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006055556 + 1006055557.

It is an arithmetic number, because the mean of its divisors is an integer number (1006055557).

Almost surely, 2^2012111113 is an apocalyptic number.

It is an amenable number.

2012111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012111113 is an equidigital number, since it uses as much as digits as its factorization.

2012111113 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 13.

The square root of 2012111113 is about 44856.5615378620. The cubic root of 2012111113 is about 1262.4591080178.

Adding to 2012111113 its reverse (3111112102), we get a palindrome (5123223215).

The spelling of 2012111113 in words is "two billion, twelve million, one hundred eleven thousand, one hundred thirteen".