133200123210 has 384 divisors, whose sum is σ = 446306125824. Its totient is φ = 26756282880.

The previous prime is 133200123209. The next prime is 133200123263. The reversal of 133200123210 is 12321002331.

133200123210 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 12 + 321 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41793237 + ... + 41796423.

It is an arithmetic number, because the mean of its divisors is an integer number (1162255536).

Almost surely, 2^133200123210 is an apocalyptic number.

133200123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133200123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223153062912).

133200123210 is an abundant number, since it is smaller than the sum of its proper divisors (313106002614).

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

133200123210 is a wasteful number, since it uses less digits than its factorization.

133200123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133200123210 its reverse (12321002331), we get a palindrome (145521125541).

The spelling of 133200123210 in words is "one hundred thirty-three billion, two hundred million, one hundred twenty-three thousand, two hundred ten".