2013042113 has 2 divisors, whose sum is σ = 2013042114. Its totient is φ = 2013042112.

The previous prime is 2013042107. The next prime is 2013042127. The reversal of 2013042113 is 3112403102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1513832464 + 499209649 = 38908^2 + 22343^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013042113 - 2¹⁸ = 2012779969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013042091 and 2013042100.

It is not a weakly prime, because it can be changed into another prime (2013042173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006521056 + 1006521057.

It is an arithmetic number, because the mean of its divisors is an integer number (1006521057).

Almost surely, 2^2013042113 is an apocalyptic number.

It is an amenable number.

2013042113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013042113 is an equidigital number, since it uses as much as digits as its factorization.

2013042113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2013042113 is about 44866.9378607455. The cubic root of 2013042113 is about 1262.6537904736.

Adding to 2013042113 its reverse (3112403102), we get a palindrome (5125445215).

The spelling of 2013042113 in words is "two billion, thirteen million, forty-two thousand, one hundred thirteen".