1311032313 has 12 divisors (see below), whose sum is σ = 1924758628. Its totient is φ = 859692960.

The previous prime is 1311032291. The next prime is 1311032321. The reversal of 1311032313 is 3132301131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15896169 + 1295136144 = 3987^2 + 35988^2 .

It is not a de Polignac number, because 1311032313 - 2⁶ = 1311032249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311032353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1193470 + ... + 1194567.

Almost surely, 2^1311032313 is an apocalyptic number.

It is an amenable number.

1311032313 is a deficient number, since it is larger than the sum of its proper divisors (613726315).

1311032313 is a wasteful number, since it uses less digits than its factorization.

1311032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388104 (or 2388101 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311032313 is about 36208.1801945362. The cubic root of 1311032313 is about 1094.4715207993.

Adding to 1311032313 its reverse (3132301131), we get a palindrome (4443333444).

The spelling of 1311032313 in words is "one billion, three hundred eleven million, thirty-two thousand, three hundred thirteen".