201331334304 has 144 divisors (see below), whose sum is σ = 603108586080. Its totient is φ = 63531993600.

The previous prime is 201331334299. The next prime is 201331334357. The reversal of 201331334304 is 403433133102.

201331334304 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 313 + 343 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7927194 + ... + 7952550.

It is an arithmetic number, because the mean of its divisors is an integer number (4188254070).

Almost surely, 2^201331334304 is an apocalyptic number.

201331334304 is a gapful number since it is divisible by the number (24) 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 201331334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301554293040).

201331334304 is an abundant number, since it is smaller than the sum of its proper divisors (401777251776).

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

201331334304 is a wasteful number, since it uses less digits than its factorization.

201331334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26843 (or 26832 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 201331334304 its reverse (403433133102), we get a palindrome (604764467406).

The spelling of 201331334304 in words is "two hundred one billion, three hundred thirty-one million, three hundred thirty-four thousand, three hundred four".