133133130 has 72 divisors (see below), whose sum is σ = 374863788. Its totient is φ = 32767488.

The previous prime is 133133123. The next prime is 133133153. The reversal of 133133130 is 31331331.

133133130 is a `hidden beast` number, since 1 + 331 + 331 + 3 + 0 = 666.

133133130 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 6 ways, for example, as 34468641 + 98664489 = 5871^2 + 9933^2 .

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 35 ways as a sum of consecutive naturals, for example, 10834 + ... + 19586.

Almost surely, 2^133133130 is an apocalyptic number.

133133130 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 133133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187431894).

133133130 is an abundant number, since it is smaller than the sum of its proper divisors (241730658).

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

133133130 is a wasteful number, since it uses less digits than its factorization.

133133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 133133130 is about 11538.3330685156. Note that the first 3 decimals coincide. The cubic root of 133133130 is about 510.6171306729.

Adding to 133133130 its reverse (31331331), we get a palindrome (164464461).

The spelling of 133133130 in words is "one hundred thirty-three million, one hundred thirty-three thousand, one hundred thirty".