1311332321 has 8 divisors (see below), whose sum is σ = 1414659624. Its totient is φ = 1208355840.

The previous prime is 1311332317. The next prime is 1311332339. The reversal of 1311332321 is 1232331131.

It can be written as a sum of positive squares in 4 ways, for example, as 45751696 + 1265580625 = 6764^2 + 35575^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1311332321 - 2² = 1311332317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311332293 and 1311332302.

It is not an unprimeable number, because it can be changed into a prime (1311332381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79910 + ... + 94911.

It is an arithmetic number, because the mean of its divisors is an integer number (176832453).

Almost surely, 2^1311332321 is an apocalyptic number.

It is an amenable number.

1311332321 is a deficient number, since it is larger than the sum of its proper divisors (103327303).

1311332321 is a wasteful number, since it uses less digits than its factorization.

1311332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175411.

The product of its digits is 324, while the sum is 20.

The square root of 1311332321 is about 36212.3227783030. The cubic root of 1311332321 is about 1094.5549983170.

Adding to 1311332321 its reverse (1232331131), we get a palindrome (2543663452).

The spelling of 1311332321 in words is "one billion, three hundred eleven million, three hundred thirty-two thousand, three hundred twenty-one".