2013042013 has 8 divisors (see below), whose sum is σ = 2037127968. Its totient is φ = 1989099504.

The previous prime is 2013041983. The next prime is 2013042019. The reversal of 2013042013 is 3102403102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013042013 - 2⁹ = 2013041501 is a prime.

It is a super-2 number, since 2×2013042013² = 8104676292206184338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013042019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7495 + ... + 63892.

It is an arithmetic number, because the mean of its divisors is an integer number (254640996).

Almost surely, 2^2013042013 is an apocalyptic number.

It is an amenable number.

2013042013 is a deficient number, since it is larger than the sum of its proper divisors (24085955).

2013042013 is a wasteful number, since it uses less digits than its factorization.

2013042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71723.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2013042013 is about 44866.9367463392. The cubic root of 2013042013 is about 1262.6537695657.

Adding to 2013042013 its reverse (3102403102), we get a palindrome (5115445115).

The spelling of 2013042013 in words is "two billion, thirteen million, forty-two thousand, thirteen".