1322132313221 has 16 divisors (see below), whose sum is σ = 1407056302080. Its totient is φ = 1238019068160.

The previous prime is 1322132313193. The next prime is 1322132313239. The reversal of 1322132313221 is 1223132312231.

It is a cyclic number.

It is not a de Polignac number, because 1322132313221 - 2³⁰ = 1321058571397 is a prime.

It is a super-3 number, since 3×1322132313221³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322132313241) 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, 2374940 + ... + 2878298.

It is an arithmetic number, because the mean of its divisors is an integer number (87941018880).

Almost surely, 2^{1322132313221} is an apocalyptic number.

It is an amenable number.

1322132313221 is a deficient number, since it is larger than the sum of its proper divisors (84923988859).

1322132313221 is a wasteful number, since it uses less digits than its factorization.

1322132313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504164.

The product of its digits is 2592, while the sum is 26.

Adding to 1322132313221 its reverse (1223132312231), we get a palindrome (2545264625452).

The spelling of 1322132313221 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred twenty-one".