1300303313 has 2 divisors, whose sum is σ = 1300303314. Its totient is φ = 1300303312.

The previous prime is 1300303307. The next prime is 1300303337. The reversal of 1300303313 is 3133030031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1045358224 + 254945089 = 32332^2 + 15967^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300303313 - 2¹⁴ = 1300286929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300303291 and 1300303300.

It is not a weakly prime, because it can be changed into another prime (1300302313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650151656 + 650151657.

It is an arithmetic number, because the mean of its divisors is an integer number (650151657).

Almost surely, 2^1300303313 is an apocalyptic number.

It is an amenable number.

1300303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300303313 is an equidigital number, since it uses as much as digits as its factorization.

1300303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 1300303313 is about 36059.7187038391. The cubic root of 1300303313 is about 1091.4777568836.

Adding to 1300303313 its reverse (3133030031), we get a palindrome (4433333344).

The spelling of 1300303313 in words is "one billion, three hundred million, three hundred three thousand, three hundred thirteen".