1322322133104 has 240 divisors, whose sum is σ = 4351112385984. Its totient is φ = 367006924800.

The previous prime is 1322322133103. The next prime is 1322322133123. The reversal of 1322322133104 is 4013312232231.

1322322133104 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 322 + 1 + 331 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322322133103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9560764 + ... + 9698084.

Almost surely, 2^{1322322133104} is an apocalyptic number.

1322322133104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322322133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175556192992).

1322322133104 is an abundant number, since it is smaller than the sum of its proper divisors (3028790252880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322322133104 is a wasteful number, since it uses less digits than its factorization.

1322322133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137616 (or 137607 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1322322133104 its reverse (4013312232231), we get a palindrome (5335634365335).

The spelling of 1322322133104 in words is "one trillion, three hundred twenty-two billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred four".