1321133220000 has 960 divisors, whose sum is σ = 5284166025600. Its totient is φ = 318366720000.

The previous prime is 1321133219971. The next prime is 1321133220061. The reversal of 1321133220000 is 223311231.

1321133220000 is a `hidden beast` number, since 132 + 1 + 1 + 332 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1170179436 + ... + 1170180564.

It is an arithmetic number, because the mean of its divisors is an integer number (5504339610).

Almost surely, 2^{1321133220000} is an apocalyptic number.

1321133220000 is a gapful number since it is divisible by the number (10) 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 1321133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642083012800).

1321133220000 is an abundant number, since it is smaller than the sum of its proper divisors (3963032805600).

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

1321133220000 is a wasteful number, since it uses less digits than its factorization.

1321133220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1321133220000 its reverse (223311231), we get a palindrome (1321356531231).

The spelling of 1321133220000 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-three million, two hundred twenty thousand".