2013513105 has 16 divisors (see below), whose sum is σ = 3222177984. Its totient is φ = 1073688000.

The previous prime is 2013513077. The next prime is 2013513107. The reversal of 2013513105 is 5013153102.

It is not a de Polignac number, because 2013513105 - 2⁸ = 2013512849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013513107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158230 + ... + 170480.

It is an arithmetic number, because the mean of its divisors is an integer number (201386124).

Almost surely, 2^2013513105 is an apocalyptic number.

It is an amenable number.

2013513105 is a deficient number, since it is larger than the sum of its proper divisors (1208664879).

2013513105 is a wasteful number, since it uses less digits than its factorization.

2013513105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 2013513105 is about 44872.1863184757. The cubic root of 2013513105 is about 1262.7522572759.

Adding to 2013513105 its reverse (5013153102), we get a palindrome (7026666207).

The spelling of 2013513105 in words is "two billion, thirteen million, five hundred thirteen thousand, one hundred five".