300013 has 4 divisors (see below), whose sum is σ = 342880. Its totient is φ = 257148.

The previous prime is 300007. The next prime is 300017. The reversal of 300013 is 310003.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310003 = 151 ⋅2053.

It is a cyclic number.

It is not a de Polignac number, because 300013 - 2⁹ = 299501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 42859 = 300013 / (3 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 299969 and 300005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300017) 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, 21423 + ... + 21436.

It is an arithmetic number, because the mean of its divisors is an integer number (85720).

2³⁰⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

300013 is a deficient number, since it is larger than the sum of its proper divisors (42867).

300013 is an equidigital number, since it uses as much as digits as its factorization.

300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42866.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 300013 is about 547.7344246987. The cubic root of 300013 is about 66.9442619530.

Adding to 300013 its reverse (310003), we get a palindrome (610016).

The spelling of 300013 in words is "three hundred thousand, thirteen".