1330323331200 has 384 divisors, whose sum is σ = 4715595325440. Its totient is φ = 328409088000.

The previous prime is 1330323331187. The next prime is 1330323331237. The reversal of 1330323331200 is 21333230331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9888385 + ... + 10022015.

It is an arithmetic number, because the mean of its divisors is an integer number (12280196160).

Almost surely, 2^{1330323331200} is an apocalyptic number.

1330323331200 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 1330323331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357797662720).

1330323331200 is an abundant number, since it is smaller than the sum of its proper divisors (3385271994240).

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

1330323331200 is a wasteful number, since it uses less digits than its factorization.

1330323331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133736 (or 133719 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1330323331200 its reverse (21333230331), we get a palindrome (1351656561531).

The spelling of 1330323331200 in words is "one trillion, three hundred thirty billion, three hundred twenty-three million, three hundred thirty-one thousand, two hundred".