133130022000 has 160 divisors (see below), whose sum is σ = 429393469440. Its totient is φ = 35486265600.

The previous prime is 133130021993. The next prime is 133130022001. The reversal of 133130022000 is 220031331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27831609 + ... + 27836391.

It is an arithmetic number, because the mean of its divisors is an integer number (2683709184).

Almost surely, 2^133130022000 is an apocalyptic number.

133130022000 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 133130022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214696734720).

133130022000 is an abundant number, since it is smaller than the sum of its proper divisors (296263447440).

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

133130022000 is a wasteful number, since it uses less digits than its factorization.

133130022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9432 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 133130022000 its reverse (220031331), we get a palindrome (133350053331).

The spelling of 133130022000 in words is "one hundred thirty-three billion, one hundred thirty million, twenty-two thousand".