1330133301200 has 180 divisors, whose sum is σ = 3514117207104. Its totient is φ = 483471648000.

The previous prime is 1330133301187. The next prime is 1330133301221. The reversal of 1330133301200 is 21033310331.

It is a super-3 number, since 3×1330133301200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146308655 + ... + 146317745.

Almost surely, 2^{1330133301200} is an apocalyptic number.

1330133301200 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 1330133301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757058603552).

1330133301200 is an abundant number, since it is smaller than the sum of its proper divisors (2183983905904).

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

1330133301200 is a wasteful number, since it uses less digits than its factorization.

1330133301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1330133301200 its reverse (21033310331), we get a palindrome (1351166611531).

The spelling of 1330133301200 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, three hundred one thousand, two hundred".