1003323112000 has 224 divisors, whose sum is σ = 2828472701184. Its totient is φ = 348981248000.

The previous prime is 1003323111991. The next prime is 1003323112139. The reversal of 1003323112000 is 2113233001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776144 + ... + 2271856.

Almost surely, 2^{1003323112000} is an apocalyptic number.

1003323112000 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 1003323112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414236350592).

1003323112000 is an abundant number, since it is smaller than the sum of its proper divisors (1825149589184).

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

1003323112000 is a wasteful number, since it uses less digits than its factorization.

1003323112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495774 (or 495754 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1003323112000 its reverse (2113233001), we get a palindrome (1005436345001).

The spelling of 1003323112000 in words is "one trillion, three billion, three hundred twenty-three million, one hundred twelve thousand".