10000300013 has 8 divisors (see below), whose sum is σ = 11261335296. Its totient is φ = 8797917600.

The previous prime is 10000300007. The next prime is 10000300043. The reversal of 10000300013 is 31000300001.

10000300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10000300013 - 2²⁴ = 9983522797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000300043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14662856 + ... + 14663537.

It is an arithmetic number, because the mean of its divisors is an integer number (1407666912).

Almost surely, 2^10000300013 is an apocalyptic number.

It is an amenable number.

10000300013 is a deficient number, since it is larger than the sum of its proper divisors (1261035283).

10000300013 is a wasteful number, since it uses less digits than its factorization.

10000300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29326435.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 10000300013 its reverse (31000300001), we get a palindrome (41000600014).

It can be divided in two parts, 10000 and 300013, that added together give a palindrome (310013).

The spelling of 10000300013 in words is "ten billion, three hundred thousand, thirteen".