133121132033200 has 120 divisors (see below), whose sum is σ = 320853513279600. Its totient is φ = 53076988032000.

The previous prime is 133121132033179. The next prime is 133121132033233. The reversal of 133121132033200 is 2330231121331.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 2872123626 + ... + 2872169974.

It is an arithmetic number, because the mean of its divisors is an integer number (2673779277330).

Almost surely, 2^{133121132033200} is an apocalyptic number.

133121132033200 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 133121132033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160426756639800).

133121132033200 is an abundant number, since it is smaller than the sum of its proper divisors (187732381246400).

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

133121132033200 is a wasteful number, since it uses less digits than its factorization.

133121132033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69335 (or 69324 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133121132033200 its reverse (2330231121331), we get a palindrome (135451363154531).

The spelling of 133121132033200 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, one hundred thirty-two million, thirty-three thousand, two hundred".