201332131033000 has 192 divisors, whose sum is σ = 532279435821120. Its totient is φ = 70687139936000.

The previous prime is 201332131032979. The next prime is 201332131033037. The reversal of 201332131033000 is 330131233102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630642 + ... + 20132641.

It is an arithmetic number, because the mean of its divisors is an integer number (2772288728235).

Almost surely, 2^{201332131033000} is an apocalyptic number.

201332131033000 is a gapful number since it is divisible by the number (20) 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 201332131033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266139717910560).

201332131033000 is an abundant number, since it is smaller than the sum of its proper divisors (330947304788120).

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

201332131033000 is a wasteful number, since it uses less digits than its factorization.

201332131033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21763373 (or 21763330 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 201332131033000 its reverse (330131233102), we get a palindrome (201662262266102).

The spelling of 201332131033000 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred thirty-one million, thirty-three thousand".