2013012013 has 4 divisors (see below), whose sum is σ = 2013857020. Its totient is φ = 2012167008.

The previous prime is 2013011999. The next prime is 2013012059. The reversal of 2013012013 is 3102103102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 165559689 + 1847452324 = 12867^2 + 42982^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013012013 - 2¹⁷ = 2012880941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013011984 and 2013012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013012073) 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 in 3 ways as a sum of consecutive naturals, for example, 418920 + ... + 423697.

It is an arithmetic number, because the mean of its divisors is an integer number (503464255).

Almost surely, 2^2013012013 is an apocalyptic number.

It is an amenable number.

2013012013 is a deficient number, since it is larger than the sum of its proper divisors (845007).

2013012013 is an equidigital number, since it uses as much as digits as its factorization.

2013012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845006.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013012013 is about 44866.6024231833. The cubic root of 2013012013 is about 1262.6474971679.

Adding to 2013012013 its reverse (3102103102), we get a palindrome (5115115115).

The spelling of 2013012013 in words is "two billion, thirteen million, twelve thousand, thirteen".