201331001144 has 128 divisors (see below), whose sum is σ = 480546017280. Its totient is φ = 76925721600.

The previous prime is 201331001141. The next prime is 201331001167. The reversal of 201331001144 is 441100133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11749367 + ... + 11766489.

It is an arithmetic number, because the mean of its divisors is an integer number (3754265760).

Almost surely, 2^201331001144 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 201331001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240273008640).

201331001144 is an abundant number, since it is smaller than the sum of its proper divisors (279215016136).

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

201331001144 is a wasteful number, since it uses less digits than its factorization.

201331001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201331001144 its reverse (441100133102), we get a palindrome (642431134246).

The spelling of 201331001144 in words is "two hundred one billion, three hundred thirty-one million, one thousand, one hundred forty-four".