1304322133356 has 288 divisors, whose sum is σ = 3777239950848. Its totient is φ = 375646740480.

The previous prime is 1304322133351. The next prime is 1304322133357. The reversal of 1304322133356 is 6533312234031.

1304322133356 is a `hidden beast` number, since 1 + 3 + 0 + 432 + 213 + 3 + 3 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1304322133356.

It is not an unprimeable number, because it can be changed into a prime (1304322133351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1487253990 + ... + 1487254866.

It is an arithmetic number, because the mean of its divisors is an integer number (13115416496).

Almost surely, 2^{1304322133356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304322133356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888619975424).

1304322133356 is an abundant number, since it is smaller than the sum of its proper divisors (2472917817492).

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

1304322133356 is a wasteful number, since it uses less digits than its factorization.

1304322133356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 1304322133356 its reverse (6533312234031), we get a palindrome (7837634367387).

The spelling of 1304322133356 in words is "one trillion, three hundred four billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred fifty-six".