2013301313 has 16 divisors (see below), whose sum is σ = 2304587520. Its totient is φ = 1746614016.

The previous prime is 2013301253. The next prime is 2013301321. The reversal of 2013301313 is 3131033102.

It is a cyclic number.

It is not a de Polignac number, because 2013301313 - 2¹⁸ = 2013039169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2013301291 and 2013301300.

It is not an unprimeable number, because it can be changed into a prime (2013301373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72281 + ... + 96182.

It is an arithmetic number, because the mean of its divisors is an integer number (144036720).

Almost surely, 2^2013301313 is an apocalyptic number.

It is an amenable number.

2013301313 is a deficient number, since it is larger than the sum of its proper divisors (291286207).

2013301313 is a wasteful number, since it uses less digits than its factorization.

2013301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168536.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2013301313 is about 44869.8263090019. The cubic root of 2013301313 is about 1262.7079813943.

Adding to 2013301313 its reverse (3131033102), we get a palindrome (5144334415).

The spelling of 2013301313 in words is "two billion, thirteen million, three hundred one thousand, three hundred thirteen".