1133033221320 has 768 divisors, whose sum is σ = 4757126976000. Its totient is φ = 209823989760.

The previous prime is 1133033221261. The next prime is 1133033221337. The reversal of 1133033221320 is 231223303311.

It is a super-2 number, since 2×1133033221320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38303496 + ... + 38333064.

It is an arithmetic number, because the mean of its divisors is an integer number (6194175750).

Almost surely, 2^{1133033221320} is an apocalyptic number.

1133033221320 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 1133033221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378563488000).

1133033221320 is an abundant number, since it is smaller than the sum of its proper divisors (3624093754680).

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

1133033221320 is a wasteful number, since it uses less digits than its factorization.

1133033221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29654 (or 29639 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1133033221320 its reverse (231223303311), we get a palindrome (1364256524631).

The spelling of 1133033221320 in words is "one trillion, one hundred thirty-three billion, thirty-three million, two hundred twenty-one thousand, three hundred twenty".