133201210010000 has 400 divisors, whose sum is σ = 355154563260288. Its totient is φ = 47977036800000.

The previous prime is 133201210009961. The next prime is 133201210010003. The reversal of 133201210010000 is 10012102331.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (133201210010003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28725727682 + ... + 28725732318.

Almost surely, 2^{133201210010000} is an apocalyptic number.

133201210010000 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 133201210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577281630144).

133201210010000 is an abundant number, since it is smaller than the sum of its proper divisors (221953353250288).

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

133201210010000 is a wasteful number, since it uses less digits than its factorization.

133201210010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 133201210010000 its reverse (10012102331), we get a palindrome (133211222112331).

The spelling of 133201210010000 in words is "one hundred thirty-three trillion, two hundred one billion, two hundred ten million, ten thousand".