1330320312221 has 16 divisors (see below), whose sum is σ = 1452852960624. Its totient is φ = 1212997976064.

The previous prime is 1330320312193. The next prime is 1330320312247. The reversal of 1330320312221 is 1222130230331.

It can be written as a sum of positive squares in 8 ways, for example, as 53677939225 + 1276642372996 = 231685^2 + 1129886^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330320312221 - 2³⁰ = 1329246570397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330320312281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4392020 + ... + 4685133.

It is an arithmetic number, because the mean of its divisors is an integer number (90803310039).

Almost surely, 2^{1330320312221} is an apocalyptic number.

It is an amenable number.

1330320312221 is a deficient number, since it is larger than the sum of its proper divisors (122532648403).

1330320312221 is a wasteful number, since it uses less digits than its factorization.

1330320312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077440.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1330320312221 its reverse (1222130230331), we get a palindrome (2552450542552).

The spelling of 1330320312221 in words is "one trillion, three hundred thirty billion, three hundred twenty million, three hundred twelve thousand, two hundred twenty-one".