1330200313200 has 360 divisors, whose sum is σ = 5300861854080. Its totient is φ = 305500377600.

The previous prime is 1330200313187. The next prime is 1330200313207. The reversal of 1330200313200 is 23130020331.

1330200313200 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 0 + 313 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330200313207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131572 + ... + 1636371.

Almost surely, 2^{1330200313200} is an apocalyptic number.

1330200313200 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 1330200313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650430927040).

1330200313200 is an abundant number, since it is smaller than the sum of its proper divisors (3970661540880).

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

1330200313200 is a wasteful number, since it uses less digits than its factorization.

1330200313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767997 (or 1767983 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330200313200 its reverse (23130020331), we get a palindrome (1353330333531).

The spelling of 1330200313200 in words is "one trillion, three hundred thirty billion, two hundred million, three hundred thirteen thousand, two hundred".