1303323330213 has 48 divisors (see below), whose sum is σ = 1922840109424. Its totient is φ = 850449300480.

The previous prime is 1303323330203. The next prime is 1303323330251. The reversal of 1303323330213 is 3120333233031.

1303323330213 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 323 + 330 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 938606379489 + 364716950724 = 968817^2 + 603918^2 .

It is not a de Polignac number, because 1303323330213 - 2¹⁴ = 1303323313829 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 (1303323330203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105329895 + ... + 105342267.

Almost surely, 2^{1303323330213} is an apocalyptic number.

It is an amenable number.

1303323330213 is a deficient number, since it is larger than the sum of its proper divisors (619516779211).

1303323330213 is a wasteful number, since it uses less digits than its factorization.

1303323330213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 1303323330213 its reverse (3120333233031), we get a palindrome (4423656563244).

The spelling of 1303323330213 in words is "one trillion, three hundred three billion, three hundred twenty-three million, three hundred thirty thousand, two hundred thirteen".