1322133132321 has 96 divisors (see below), whose sum is σ = 2012268690432. Its totient is φ = 835722800640.

The previous prime is 1322133132293. The next prime is 1322133132389. The reversal of 1322133132321 is 1232313312231.

1322133132321 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 331 + 3 + 2 + 321 = 666.

It is not a de Polignac number, because 1322133132321 - 2⁷ = 1322133132193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1322133132421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827884695 + ... + 827886291.

It is an arithmetic number, because the mean of its divisors is an integer number (20961132192).

Almost surely, 2^{1322133132321} is an apocalyptic number.

It is an amenable number.

1322133132321 is a deficient number, since it is larger than the sum of its proper divisors (690135558111).

1322133132321 is a wasteful number, since it uses less digits than its factorization.

1322133132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2100 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1322133132321 its reverse (1232313312231), we get a palindrome (2554446444552).

The spelling of 1322133132321 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty-one".