1133221320 has 256 divisors, whose sum is σ = 4709836800. Its totient is φ = 235457280.

The previous prime is 1133221303. The next prime is 1133221321. The reversal of 1133221320 is 231223311.

1133221320 is a `hidden beast` number, since 11 + 332 + 2 + 1 + 320 = 666.

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 = 1133221293 and 1133221302.

It is not an unprimeable number, because it can be changed into a prime (1133221321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76347 + ... + 89973.

It is an arithmetic number, because the mean of its divisors is an integer number (18397800).

Almost surely, 2^1133221320 is an apocalyptic number.

1133221320 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 1133221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354918400).

1133221320 is an abundant number, since it is smaller than the sum of its proper divisors (3576615480).

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

1133221320 is a wasteful number, since it uses less digits than its factorization.

1133221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13665 (or 13655 counting only the distinct ones).

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

The square root of 1133221320 is about 33663.3527741965. The cubic root of 1133221320 is about 1042.5692516493.

Adding to 1133221320 its reverse (231223311), we get a palindrome (1364444631).

The spelling of 1133221320 in words is "one billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".