1003332000000 has 756 divisors, whose sum is σ = 3674202657104. Its totient is φ = 242880000000.

The previous prime is 1003331999983. The next prime is 1003332000023. The reversal of 1003332000000 is 2333001.

It is a happy number.

1003332000000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1003332000000.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1451999655 + ... + 1452000345.

Almost surely, 2^{1003332000000} is an apocalyptic number.

1003332000000 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 1003332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837101328552).

1003332000000 is an abundant number, since it is smaller than the sum of its proper divisors (2670870657104).

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

1003332000000 is an frugal number, since it uses more digits than its factorization.

1003332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 1003332000000 its reverse (2333001), we get a palindrome (1003334333001).

The spelling of 1003332000000 in words is "one trillion, three billion, three hundred thirty-two million", and thus it is an aban number.