133201332033000 has 512 divisors, whose sum is σ = 519802194862080. Its totient is φ = 27589186560000.

The previous prime is 133201332032971. The next prime is 133201332033001. The reversal of 133201332033000 is 330233102331.

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

It is not an unprimeable number, because it can be changed into a prime (133201332033001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70913944 + ... + 72768056.

It is an arithmetic number, because the mean of its divisors is an integer number (1015238661840).

Almost surely, 2^{133201332033000} is an apocalyptic number.

133201332033000 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 133201332033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259901097431040).

133201332033000 is an abundant number, since it is smaller than the sum of its proper divisors (386600862829080).

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

133201332033000 is a wasteful number, since it uses less digits than its factorization.

133201332033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854466 (or 1854452 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 133201332033000 its reverse (330233102331), we get a palindrome (133531565135331).

The spelling of 133201332033000 in words is "one hundred thirty-three trillion, two hundred one billion, three hundred thirty-two million, thirty-three thousand".