1331313009 has 16 divisors (see below), whose sum is σ = 1958256384. Its totient is φ = 799286400.

The previous prime is 1331312953. The next prime is 1331313013. The reversal of 1331313009 is 9003131331.

It is not a de Polignac number, because 1331313009 - 2¹⁵ = 1331280241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331313009.

It is not an unprimeable number, because it can be changed into a prime (1331313059) 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 15 ways as a sum of consecutive naturals, for example, 414697 + ... + 417894.

It is an arithmetic number, because the mean of its divisors is an integer number (122391024).

Almost surely, 2^1331313009 is an apocalyptic number.

It is an amenable number.

1331313009 is a deficient number, since it is larger than the sum of its proper divisors (626943375).

1331313009 is a wasteful number, since it uses less digits than its factorization.

1331313009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832648.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 1331313009 is about 36487.1622492076. The cubic root of 1331313009 is about 1100.0862216161.

The spelling of 1331313009 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, nine".