133001022000 has 480 divisors, whose sum is σ = 538672522752. Its totient is φ = 27635520000.

The previous prime is 133001021983. The next prime is 133001022023. The reversal of 133001022000 is 220100331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5068915 + ... + 5095085.

Almost surely, 2^133001022000 is an apocalyptic number.

133001022000 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 133001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269336261376).

133001022000 is an abundant number, since it is smaller than the sum of its proper divisors (405671500752).

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

133001022000 is a wasteful number, since it uses less digits than its factorization.

133001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26226 (or 26199 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 133001022000 its reverse (220100331), we get a palindrome (133221122331).

The spelling of 133001022000 in words is "one hundred thirty-three billion, one million, twenty-two thousand".