1300313313 has 12 divisors (see below), whose sum is σ = 2022709780. Its totient is φ = 800192736.

The previous prime is 1300313297. The next prime is 1300313341. The reversal of 1300313313 is 3133130031.

1300313313 is a `hidden beast` number, since 1 + 300 + 31 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 874798929 + 425514384 = 29577^2 + 20628^2 .

It is not a de Polignac number, because 1300313313 - 2⁴ = 1300313297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1300313353) 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 in 11 ways as a sum of consecutive naturals, for example, 5556778 + ... + 5557011.

Almost surely, 2^1300313313 is an apocalyptic number.

1300313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300313313 is a deficient number, since it is larger than the sum of its proper divisors (722396467).

1300313313 is a wasteful number, since it uses less digits than its factorization.

1300313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113808 (or 11113805 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1300313313 is about 36059.8573624467. The cubic root of 1300313313 is about 1091.4805548845.

Adding to 1300313313 its reverse (3133130031), we get a palindrome (4433443344).

The spelling of 1300313313 in words is "one billion, three hundred million, three hundred thirteen thousand, three hundred thirteen".