201131310112 has 96 divisors (see below), whose sum is σ = 426749030064. Its totient is φ = 92966092800.

The previous prime is 201131310109. The next prime is 201131310199. The reversal of 201131310112 is 211013131102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16434214416 + 184697095696 = 128196^2 + 429764^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25647312 + ... + 25655152.

Almost surely, 2^201131310112 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 201131310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213374515032).

201131310112 is an abundant number, since it is smaller than the sum of its proper divisors (225617719952).

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

201131310112 is a wasteful number, since it uses less digits than its factorization.

201131310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 201131310112 its reverse (211013131102), we get a palindrome (412144441214).

The spelling of 201131310112 in words is "two hundred one billion, one hundred thirty-one million, three hundred ten thousand, one hundred twelve".