1321133220 has 192 divisors, whose sum is σ = 4510598400. Its totient is φ = 318366720.

The previous prime is 1321133197. The next prime is 1321133221. The reversal of 1321133220 is 223311231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1321133193 and 1321133202.

It is not an unprimeable number, because it can be changed into a prime (1321133221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1169616 + ... + 1170744.

It is an arithmetic number, because the mean of its divisors is an integer number (23492700).

Almost surely, 2^1321133220 is an apocalyptic number.

1321133220 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 1321133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255299200).

1321133220 is an abundant number, since it is smaller than the sum of its proper divisors (3189465180).

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

1321133220 is a wasteful number, since it uses less digits than its factorization.

1321133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

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

The square root of 1321133220 is about 36347.3963304113. The cubic root of 1321133220 is about 1097.2751344594.

Adding to 1321133220 its reverse (223311231), we get a palindrome (1544444451).

The spelling of 1321133220 in words is "one billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty".