133221201003000 has 384 divisors, whose sum is σ = 496742292446400. Its totient is φ = 31933169664000.

The previous prime is 133221201002987. The next prime is 133221201003017. The reversal of 133221201003000 is 300102122331.

133221201003000 is a `hidden beast` number, since 1 + 332 + 2 + 1 + 20 + 10 + 0 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1251064 + ... + 16370936.

Almost surely, 2^{133221201003000} is an apocalyptic number.

133221201003000 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 133221201003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248371146223200).

133221201003000 is an abundant number, since it is smaller than the sum of its proper divisors (363521091443400).

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

133221201003000 is a wasteful number, since it uses less digits than its factorization.

133221201003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15120000 (or 15119983 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133221201003000 its reverse (300102122331), we get a palindrome (133521303125331).

The spelling of 133221201003000 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred one million, three thousand".