133203330 has 192 divisors, whose sum is σ = 407822688. Its totient is φ = 29859840.

The previous prime is 133203307. The next prime is 133203331. The reversal of 133203330 is 33302331.

133203330 is a `hidden beast` number, since 1 + 332 + 0 + 3 + 330 = 666.

133203330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3448449 + 129754881 = 1857^2 + 11391^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133203331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735840 + ... + 736020.

Almost surely, 2^133203330 is an apocalyptic number.

133203330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133203330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344).

133203330 is an abundant number, since it is smaller than the sum of its proper divisors (274619358).

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

133203330 is a wasteful number, since it uses less digits than its factorization.

133203330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133203330 is about 11541.3747014816. The cubic root of 133203330 is about 510.7068629684.

Adding to 133203330 its reverse (33302331), we get a palindrome (166505661).

Subtracting from 133203330 its reverse (33302331), we obtain a palindrome (99900999).

It can be divided in two parts, 13320 and 3330, that multiplied together give a square (44355600 = 6660²).

The spelling of 133203330 in words is "one hundred thirty-three million, two hundred three thousand, three hundred thirty".