201131112300 has 144 divisors (see below), whose sum is σ = 625368723840. Its totient is φ = 49726448640.

The previous prime is 201131112253. The next prime is 201131112319. The reversal of 201131112300 is 3211131102.

It is a happy number.

It is a super-2 number, since 2×201131112300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201131112300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47391 + ... + 636009.

It is an arithmetic number, because the mean of its divisors is an integer number (4342838360).

Almost surely, 2^201131112300 is an apocalyptic number.

201131112300 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 201131112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312684361920).

201131112300 is an abundant number, since it is smaller than the sum of its proper divisors (424237611540).

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

201131112300 is a wasteful number, since it uses less digits than its factorization.

201131112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588720 (or 588713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201131112300 its reverse (3211131102), we get a palindrome (204342243402).

The spelling of 201131112300 in words is "two hundred one billion, one hundred thirty-one million, one hundred twelve thousand, three hundred".