1331328000 has 176 divisors, whose sum is σ = 4429773504. Its totient is φ = 354918400.

The previous prime is 1331327983. The next prime is 1331328023. The reversal of 1331328000 is 8231331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382267 + ... + 385733.

Almost surely, 2^1331328000 is an apocalyptic number.

1331328000 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 1331328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214886752).

1331328000 is an abundant number, since it is smaller than the sum of its proper divisors (3098445504).

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

1331328000 is an equidigital number, since it uses as much as digits as its factorization.

1331328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1331328000 is about 36487.3676770468. The cubic root of 1331328000 is about 1100.0903507054.

Adding to 1331328000 its reverse (8231331), we get a palindrome (1339559331).

The spelling of 1331328000 in words is "one billion, three hundred thirty-one million, three hundred twenty-eight thousand".