1311122321 has 8 divisors (see below), whose sum is σ = 1336504104. Its totient is φ = 1285764480.

The previous prime is 1311122311. The next prime is 1311122327. The reversal of 1311122321 is 1232211131.

It can be written as a sum of positive squares in 4 ways, for example, as 327610000 + 983512321 = 18100^2 + 31361^2 .

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 1311122321 - 2¹⁰ = 1311121297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311122321.

It is not an unprimeable number, because it can be changed into a prime (1311122327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137261 + ... + 146501.

It is an arithmetic number, because the mean of its divisors is an integer number (167063013).

Almost surely, 2^1311122321 is an apocalyptic number.

It is an amenable number.

1311122321 is a deficient number, since it is larger than the sum of its proper divisors (25381783).

1311122321 is an equidigital number, since it uses as much as digits as its factorization.

1311122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971.

The product of its digits is 72, while the sum is 17.

The square root of 1311122321 is about 36209.4230967576. The cubic root of 1311122321 is about 1094.4965669499.

Adding to 1311122321 its reverse (1232211131), we get a palindrome (2543333452).

The spelling of 1311122321 in words is "one billion, three hundred eleven million, one hundred twenty-two thousand, three hundred twenty-one".