133231123200 has 432 divisors, whose sum is σ = 504296334080. Its totient is φ = 30344232960.

The previous prime is 133231123189. The next prime is 133231123217. The reversal of 133231123200 is 2321132331.

133231123200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 41259186 + ... + 41262414.

Almost surely, 2^133231123200 is an apocalyptic number.

133231123200 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 133231123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252148167040).

133231123200 is an abundant number, since it is smaller than the sum of its proper divisors (371065210880).

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

133231123200 is a wasteful number, since it uses less digits than its factorization.

133231123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133231123200 its reverse (2321132331), we get a palindrome (135552255531).

The spelling of 133231123200 in words is "one hundred thirty-three billion, two hundred thirty-one million, one hundred twenty-three thousand, two hundred".