133433322000 has 640 divisors, whose sum is σ = 487652645376. Its totient is φ = 31104000000.

The previous prime is 133433321971. The next prime is 133433322013. The reversal of 133433322000 is 223334331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246641730 + ... + 246642270.

Almost surely, 2^133433322000 is an apocalyptic number.

133433322000 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 133433322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243826322688).

133433322000 is an abundant number, since it is smaller than the sum of its proper divisors (354219323376).

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

133433322000 is a wasteful number, since it uses less digits than its factorization.

133433322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 133433322000 its reverse (223334331), we get a palindrome (133656656331).

The spelling of 133433322000 in words is "one hundred thirty-three billion, four hundred thirty-three million, three hundred twenty-two thousand".