1322013332321 has 16 divisors (see below), whose sum is σ = 1443181416768. Its totient is φ = 1201009766400.

The previous prime is 1322013332281. The next prime is 1322013332359. The reversal of 1322013332321 is 1232333102231.

It is a cyclic number.

It is not a de Polignac number, because 1322013332321 - 2¹⁴ = 1322013315937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322013331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128183861 + ... + 128194173.

It is an arithmetic number, because the mean of its divisors is an integer number (90198838548).

Almost surely, 2^{1322013332321} is an apocalyptic number.

1322013332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1322013332321 is a deficient number, since it is larger than the sum of its proper divisors (121168084447).

1322013332321 is a wasteful number, since it uses less digits than its factorization.

1322013332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17152.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1322013332321 its reverse (1232333102231), we get a palindrome (2554346434552).

The spelling of 1322013332321 in words is "one trillion, three hundred twenty-two billion, thirteen million, three hundred thirty-two thousand, three hundred twenty-one".