201331404314000 has 240 divisors, whose sum is σ = 511542992788464. Its totient is φ = 76631943168000.

The previous prime is 201331404313943. The next prime is 201331404314011. The reversal of 201331404314000 is 413404133102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61597822071184 + 139733582242816 = 7848428^2 + 11820896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203701010 + ... + 204686990.

Almost surely, 2^{201331404314000} is an apocalyptic number.

201331404314000 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 201331404314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255771496394232).

201331404314000 is an abundant number, since it is smaller than the sum of its proper divisors (310211588474464).

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

201331404314000 is a wasteful number, since it uses less digits than its factorization.

201331404314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986243 (or 986204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 201331404314000 its reverse (413404133102), we get a palindrome (201744808447102).

The spelling of 201331404314000 in words is "two hundred one trillion, three hundred thirty-one billion, four hundred four million, three hundred fourteen thousand".