1331321313 has 16 divisors (see below), whose sum is σ = 2047295360. Its totient is φ = 753774336.

The previous prime is 1331321311. The next prime is 1331321333. The reversal of 1331321313 is 3131231331.

It is not a de Polignac number, because 1331321313 - 2¹ = 1331321311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331321313.

It is not an unprimeable number, because it can be changed into a prime (1331321311) 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, 288520 + ... + 293097.

It is an arithmetic number, because the mean of its divisors is an integer number (127955960).

Almost surely, 2^1331321313 is an apocalyptic number.

It is an amenable number.

1331321313 is a deficient number, since it is larger than the sum of its proper divisors (715974047).

1331321313 is a wasteful number, since it uses less digits than its factorization.

1331321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581736.

The product of its digits is 486, while the sum is 21.

The square root of 1331321313 is about 36487.2760424782. The cubic root of 1331321313 is about 1100.0885088561.

Adding to 1331321313 its reverse (3131231331), we get a palindrome (4462552644).

The spelling of 1331321313 in words is "one billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred thirteen".