201320332032 has 288 divisors, whose sum is σ = 554764492800. Its totient is φ = 64788480000.

The previous prime is 201320332019. The next prime is 201320332049. The reversal of 201320332032 is 230233023102.

201320332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1054033057 + ... + 1054033247.

It is an arithmetic number, because the mean of its divisors is an integer number (1926265600).

Almost surely, 2^201320332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201320332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277382246400).

201320332032 is an abundant number, since it is smaller than the sum of its proper divisors (353444160768).

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

201320332032 is a wasteful number, since it uses less digits than its factorization.

201320332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 201320332032 its reverse (230233023102), we get a palindrome (431553355134).

The spelling of 201320332032 in words is "two hundred one billion, three hundred twenty million, three hundred thirty-two thousand, thirty-two".