1000331332000 has 384 divisors, whose sum is σ = 3300015333888. Its totient is φ = 287806464000.

The previous prime is 1000331331931. The next prime is 1000331332073. The reversal of 1000331332000 is 2331330001.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3879084 + ... + 4128916.

It is an arithmetic number, because the mean of its divisors is an integer number (8593789932).

Almost surely, 2^{1000331332000} is an apocalyptic number.

1000331332000 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 1000331332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650007666944).

1000331332000 is an abundant number, since it is smaller than the sum of its proper divisors (2299684001888).

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

1000331332000 is a wasteful number, since it uses less digits than its factorization.

1000331332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249889 (or 249871 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1000331332000 its reverse (2331330001), we get a palindrome (1002662662001).

It can be divided in two parts, 1000331 and 332000, that added together give a palindrome (1332331).

The spelling of 1000331332000 in words is "one trillion, three hundred thirty-one million, three hundred thirty-two thousand".