133130113200 has 360 divisors, whose sum is σ = 539237058048. Its totient is φ = 29782033920.

The previous prime is 133130113189. The next prime is 133130113219. The reversal of 133130113200 is 2311031331.

It is a happy number.

133130113200 is a `hidden beast` number, since 1 + 331 + 3 + 0 + 11 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 1128199 + ... + 1240601.

Almost surely, 2^133130113200 is an apocalyptic number.

133130113200 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 133130113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269618529024).

133130113200 is an abundant number, since it is smaller than the sum of its proper divisors (406106944848).

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

133130113200 is a wasteful number, since it uses less digits than its factorization.

133130113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112481 (or 112467 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133130113200 its reverse (2311031331), we get a palindrome (135441144531).

The spelling of 133130113200 in words is "one hundred thirty-three billion, one hundred thirty million, one hundred thirteen thousand, two hundred".