1321331313 has 16 divisors (see below), whose sum is σ = 1814746752. Its totient is φ = 854640000.

The previous prime is 1321331303. The next prime is 1321331339. The reversal of 1321331313 is 3131331231.

1321331313 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1321331313 - 2⁸ = 1321331057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1321331313.

It is not an unprimeable number, because it can be changed into a prime (1321331303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7413 + ... + 51938.

It is an arithmetic number, because the mean of its divisors is an integer number (113421672).

Almost surely, 2^1321331313 is an apocalyptic number.

It is an amenable number.

1321331313 is a deficient number, since it is larger than the sum of its proper divisors (493415439).

1321331313 is a wasteful number, since it uses less digits than its factorization.

1321331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59576.

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

The square root of 1321331313 is about 36350.1212240069. The cubic root of 1321331313 is about 1097.3299741624.

Adding to 1321331313 its reverse (3131331231), we get a palindrome (4452662544).

The spelling of 1321331313 in words is "one billion, three hundred twenty-one million, three hundred thirty-one thousand, three hundred thirteen".