1331311313 has 4 divisors (see below), whose sum is σ = 1334665140. Its totient is φ = 1327957488.

The previous prime is 1331311309. The next prime is 1331311321. The reversal of 1331311313 is 3131131331.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3131131331 = 367 ⋅8531693.

It can be written as a sum of positive squares in 2 ways, for example, as 365842129 + 965469184 = 19127^2 + 31072^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331311313 - 2² = 1331311309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331311343) 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, 1676318 + ... + 1677111.

It is an arithmetic number, because the mean of its divisors is an integer number (333666285).

Almost surely, 2^1331311313 is an apocalyptic number.

It is an amenable number.

1331311313 is a deficient number, since it is larger than the sum of its proper divisors (3353827).

1331311313 is an equidigital number, since it uses as much as digits as its factorization.

1331311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353826.

The product of its digits is 243, while the sum is 20.

The square root of 1331311313 is about 36487.1390081492. The cubic root of 1331311313 is about 1100.0857544716.

Adding to 1331311313 its reverse (3131131331), we get a palindrome (4462442644).

The spelling of 1331311313 in words is "one billion, three hundred thirty-one million, three hundred eleven thousand, three hundred thirteen".