133300 has 36 divisors (see below), whose sum is σ = 305536. Its totient is φ = 50400.

The previous prime is 133283. The next prime is 133303. The reversal of 133300 is 3331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3079 + ... + 3121.

2¹³³³⁰⁰ is an apocalyptic number.

133300 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 133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152768).

133300 is an abundant number, since it is smaller than the sum of its proper divisors (172236).

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

133300 is a wasteful number, since it uses less digits than its factorization.

133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 133300 is about 365.1027252706. The cubic root of 133300 is about 51.0830378635.

Adding to 133300 its reverse (3331), we get a palindrome (136631).

The spelling of 133300 in words is "one hundred thirty-three thousand, three hundred".