1003221133312 has 192 divisors, whose sum is σ = 2147076771840. Its totient is φ = 467535839232.

The previous prime is 1003221133259. The next prime is 1003221133319. The reversal of 1003221133312 is 2133311223001.

It is not an unprimeable number, because it can be changed into a prime (1003221133319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582251683 + ... + 582253405.

It is an arithmetic number, because the mean of its divisors is an integer number (11182691520).

Almost surely, 2^{1003221133312} 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 1003221133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073538385920).

1003221133312 is an abundant number, since it is smaller than the sum of its proper divisors (1143855638528).

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

1003221133312 is a wasteful number, since it uses less digits than its factorization.

1003221133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1003221133312 its reverse (2133311223001), we get a palindrome (3136532356313).

The spelling of 1003221133312 in words is "one trillion, three billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred twelve".