1303331313 has 8 divisors (see below), whose sum is σ = 1743916768. Its totient is φ = 865816704.

The previous prime is 1303331297. The next prime is 1303331347. The reversal of 1303331313 is 3131333031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1303331313 - 2⁴ = 1303331297 is a prime.

It is a super-2 number, since 2×1303331313² = 3397345022892607938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1303331313.

It is not an unprimeable number, because it can be changed into a prime (1303331383) by changing a digit.

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, 766720 + ... + 768417.

It is an arithmetic number, because the mean of its divisors is an integer number (217989596).

Almost surely, 2^1303331313 is an apocalyptic number.

It is an amenable number.

1303331313 is a deficient number, since it is larger than the sum of its proper divisors (440585455).

1303331313 is a wasteful number, since it uses less digits than its factorization.

1303331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535423.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 1303331313 is about 36101.6801963565. The cubic root of 1303331313 is about 1092.3243369328.

Adding to 1303331313 its reverse (3131333031), we get a palindrome (4434664344).

The spelling of 1303331313 in words is "one billion, three hundred three million, three hundred thirty-one thousand, three hundred thirteen".