1331331313 has 4 divisors (see below), whose sum is σ = 1433741428. Its totient is φ = 1228921200.

The previous prime is 1331331289. The next prime is 1331331329. The reversal of 1331331313 is 3131331331.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3131331331 = 353 ⋅8870627.

It can be written as a sum of positive squares in 2 ways, for example, as 74770609 + 1256560704 = 8647^2 + 35448^2 .

It is not a de Polignac number, because 1331331313 - 2⁹ = 1331330801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331371313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51205038 + ... + 51205063.

It is an arithmetic number, because the mean of its divisors is an integer number (358435357).

Almost surely, 2^1331331313 is an apocalyptic number.

1331331313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331331313 is a deficient number, since it is larger than the sum of its proper divisors (102410115).

1331331313 is a wasteful number, since it uses less digits than its factorization.

1331331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102410114.

The product of its digits is 729, while the sum is 22.

The square root of 1331331313 is about 36487.4130762925. The cubic root of 1331331313 is about 1100.0912632269.

Adding to 1331331313 its reverse (3131331331), we get a palindrome (4462662644).

The spelling of 1331331313 in words is "one billion, three hundred thirty-one million, three hundred thirty-one thousand, three hundred thirteen".