1003213303200 has 432 divisors, whose sum is σ = 3558656293920. Its totient is φ = 265935882240.

The previous prime is 1003213303193. The next prime is 1003213303201. The reversal of 1003213303200 is 23033123001.

1003213303200 is a `hidden beast` number, since 10 + 0 + 3 + 2 + 1 + 330 + 320 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1003213303201) 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 71 ways as a sum of consecutive naturals, for example, 1536314074 + ... + 1536314726.

It is an arithmetic number, because the mean of its divisors is an integer number (8237630310).

Almost surely, 2^{1003213303200} is an apocalyptic number.

1003213303200 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 1003213303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779328146960).

1003213303200 is an abundant number, since it is smaller than the sum of its proper divisors (2555442990720).

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

1003213303200 is a wasteful number, since it uses less digits than its factorization.

1003213303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1003213303200 its reverse (23033123001), we get a palindrome (1026246426201).

The spelling of 1003213303200 in words is "one trillion, three billion, two hundred thirteen million, three hundred three thousand, two hundred".