133030101211200 has 336 divisors, whose sum is σ = 486341577236160. Its totient is φ = 35372457123840.

The previous prime is 133030101211193. The next prime is 133030101211219. The reversal of 133030101211200 is 2112101030331.

133030101211200 is a `hidden beast` number, since 1 + 330 + 3 + 0 + 10 + 121 + 1 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10553224 + ... + 19427576.

Almost surely, 2^{133030101211200} is an apocalyptic number.

133030101211200 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 133030101211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243170788618080).

133030101211200 is an abundant number, since it is smaller than the sum of its proper divisors (353311476024960).

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

133030101211200 is a wasteful number, since it uses less digits than its factorization.

133030101211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874731 (or 8874710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133030101211200 its reverse (2112101030331), we get a palindrome (135142202241531).

The spelling of 133030101211200 in words is "one hundred thirty-three trillion, thirty billion, one hundred one million, two hundred eleven thousand, two hundred".