1300013305 has 8 divisors (see below), whose sum is σ = 1613809800. Its totient is φ = 1004148096.

The previous prime is 1300013251. The next prime is 1300013311. The reversal of 1300013305 is 5033100031.

It can be written as a sum of positive squares in 4 ways, for example, as 65755881 + 1234257424 = 8109^2 + 35132^2 .

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 1300013305 - 2⁹ = 1300012793 is a prime.

It is an unprimeable number.

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, 4482660 + ... + 4482949.

It is an arithmetic number, because the mean of its divisors is an integer number (201726225).

Almost surely, 2^1300013305 is an apocalyptic number.

It is an amenable number.

1300013305 is a deficient number, since it is larger than the sum of its proper divisors (313796495).

1300013305 is an equidigital number, since it uses as much as digits as its factorization.

1300013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965643.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 1300013305 is about 36055.6972613206. The cubic root of 1300013305 is about 1091.3966063772.

Adding to 1300013305 its reverse (5033100031), we get a palindrome (6333113336).

The spelling of 1300013305 in words is "one billion, three hundred million, thirteen thousand, three hundred five".