201331032000 has 224 divisors, whose sum is σ = 759766425600. Its totient is φ = 46018483200.

The previous prime is 201331031987. The next prime is 201331032047. The reversal of 201331032000 is 230133102.

201331032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431200 + ... + 767199.

It is an arithmetic number, because the mean of its divisors is an integer number (3391814400).

Almost surely, 2^201331032000 is an apocalyptic number.

201331032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201331032000 is an abundant number, since it is smaller than the sum of its proper divisors (558435393600).

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

201331032000 is a wasteful number, since it uses less digits than its factorization.

201331032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198436 (or 1198416 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 201331032000 its reverse (230133102), we get a palindrome (201561165102).

The spelling of 201331032000 in words is "two hundred one billion, three hundred thirty-one million, thirty-two thousand".