133300133000 has 128 divisors (see below), whose sum is σ = 316648332000. Its totient is φ = 52518067200.

The previous prime is 133300132993. The next prime is 133300133003. The reversal of 133300133000 is 331003331.

It can be written as a sum of positive squares in 16 ways, for example, as 362597764 + 132937535236 = 19042^2 + 364606^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133300133000.

It is not an unprimeable number, because it can be changed into a prime (133300133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18853466 + ... + 18860534.

Almost surely, 2^133300133000 is an apocalyptic number.

133300133000 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 133300133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158324166000).

133300133000 is an abundant number, since it is smaller than the sum of its proper divisors (183348199000).

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

133300133000 is a wasteful number, since it uses less digits than its factorization.

133300133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 133300133000 its reverse (331003331), we get a palindrome (133631136331).

The spelling of 133300133000 in words is "one hundred thirty-three billion, three hundred million, one hundred thirty-three thousand".