133130000 has 50 divisors (see below), whose sum is σ = 322345254. Its totient is φ = 53248000.

The previous prime is 133129987. The next prime is 133130047. The reversal of 133130000 is 31331.

It can be written as a sum of positive squares in 5 ways, for example, as 62031376 + 71098624 = 7876^2 + 8432^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3344 + ... + 16656.

Almost surely, 2^133130000 is an apocalyptic number.

133130000 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 133130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161172627).

133130000 is an abundant number, since it is smaller than the sum of its proper divisors (189215254).

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

133130000 is an equidigital number, since it uses as much as digits as its factorization.

133130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 133130000 is about 11538.1974328749. The cubic root of 133130000 is about 510.6131290540.

Adding to 133130000 its reverse (31331), we get a palindrome (133161331).

The spelling of 133130000 in words is "one hundred thirty-three million, one hundred thirty thousand".