133201121132200 has 192 divisors, whose sum is σ = 358355240493120. Its totient is φ = 45506569728000.

The previous prime is 133201121132113. The next prime is 133201121132297. The reversal of 133201121132200 is 2231121102331.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 17893210 + ... + 24219190.

It is an arithmetic number, because the mean of its divisors is an integer number (1866433544235).

Almost surely, 2^{133201121132200} is an apocalyptic number.

133201121132200 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 133201121132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179177620246560).

133201121132200 is an abundant number, since it is smaller than the sum of its proper divisors (225154119360920).

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

133201121132200 is a wasteful number, since it uses less digits than its factorization.

133201121132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326588 (or 6326579 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 133201121132200 its reverse (2231121102331), we get a palindrome (135432242234531).

The spelling of 133201121132200 in words is "one hundred thirty-three trillion, two hundred one billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred".