133213300 has 72 divisors (see below), whose sum is σ = 317167200. Its totient is φ = 48163200.

The previous prime is 133213277. The next prime is 133213337. The reversal of 133213300 is 3312331.

It is a congruent number.

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, 381526 + ... + 381874.

It is an arithmetic number, because the mean of its divisors is an integer number (4405100).

Almost surely, 2^133213300 is an apocalyptic number.

133213300 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 133213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158583600).

133213300 is an abundant number, since it is smaller than the sum of its proper divisors (183953900).

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

133213300 is a wasteful number, since it uses less digits than its factorization.

133213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 133213300 is about 11541.8066176834. The cubic root of 133213300 is about 510.7196044427.

Adding to 133213300 its reverse (3312331), we get a palindrome (136525631).

The spelling of 133213300 in words is "one hundred thirty-three million, two hundred thirteen thousand, three hundred".