133303202331200 has 168 divisors, whose sum is σ = 358052347956864. Its totient is φ = 48443528448000.

The previous prime is 133303202331193. The next prime is 133303202331293. The reversal of 133303202331200 is 2133202303331.

It is a happy number.

It is a super-2 number, since 2×133303202331200² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133303202331200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25735865 + ... + 30478535.

Almost surely, 2^{133303202331200} is an apocalyptic number.

133303202331200 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 133303202331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179026173978432).

133303202331200 is an abundant number, since it is smaller than the sum of its proper divisors (224749145625664).

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

133303202331200 is a wasteful number, since it uses less digits than its factorization.

133303202331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744301 (or 4744286 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 133303202331200 its reverse (2133202303331), we get a palindrome (135436404634531).

The spelling of 133303202331200 in words is "one hundred thirty-three trillion, three hundred three billion, two hundred two million, three hundred thirty-one thousand, two hundred".