2013133113 has 6 divisors (see below), whose sum is σ = 2907858954. Its totient is φ = 1342088736.

The previous prime is 2013133061. The next prime is 2013133117. The reversal of 2013133113 is 3113313102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1896428304 + 116704809 = 43548^2 + 10803^2 .

It is not a de Polignac number, because 2013133113 - 2⁸ = 2013132857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2013133117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111840720 + ... + 111840737.

It is an arithmetic number, because the mean of its divisors is an integer number (484643159).

Almost surely, 2^2013133113 is an apocalyptic number.

It is an amenable number.

2013133113 is a deficient number, since it is larger than the sum of its proper divisors (894725841).

2013133113 is a wasteful number, since it uses less digits than its factorization.

2013133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223681463 (or 223681460 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2013133113 is about 44867.9519590542. The cubic root of 2013133113 is about 1262.6728163653.

Adding to 2013133113 its reverse (3113313102), we get a palindrome (5126446215).

The spelling of 2013133113 in words is "two billion, thirteen million, one hundred thirty-three thousand, one hundred thirteen".