2013300013 has 4 divisors (see below), whose sum is σ = 2014051420. Its totient is φ = 2012548608.

The previous prime is 2013299989. The next prime is 2013300017. The reversal of 2013300013 is 3100033102.

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 998686404 + 1014613609 = 31602^2 + 31853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013300013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013299966 and 2013300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013300017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371670 + ... + 377047.

It is an arithmetic number, because the mean of its divisors is an integer number (503512855).

Almost surely, 2^2013300013 is an apocalyptic number.

It is an amenable number.

2013300013 is a deficient number, since it is larger than the sum of its proper divisors (751407).

2013300013 is an equidigital number, since it uses as much as digits as its factorization.

2013300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751406.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013300013 is about 44869.8118226498. The cubic root of 2013300013 is about 1262.7077096151.

Adding to 2013300013 its reverse (3100033102), we get a palindrome (5113333115).

The spelling of 2013300013 in words is "two billion, thirteen million, three hundred thousand, thirteen".