133213111200 has 432 divisors, whose sum is σ = 527879963520. Its totient is φ = 31364720640.

The previous prime is 133213111151. The next prime is 133213111217. The reversal of 133213111200 is 2111312331.

133213111200 is a `hidden beast` number, since 1 + 332 + 1 + 311 + 1 + 20 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2121861 + ... + 2183739.

It is an arithmetic number, because the mean of its divisors is an integer number (1221944360).

Almost surely, 2^133213111200 is an apocalyptic number.

133213111200 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 133213111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263939981760).

133213111200 is an abundant number, since it is smaller than the sum of its proper divisors (394666852320).

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

133213111200 is a wasteful number, since it uses less digits than its factorization.

133213111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61941 (or 61925 counting only the distinct ones).

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

Adding to 133213111200 its reverse (2111312331), we get a palindrome (135324423531).

The spelling of 133213111200 in words is "one hundred thirty-three billion, two hundred thirteen million, one hundred eleven thousand, two hundred".