201131321220 has 144 divisors (see below), whose sum is σ = 617401512000. Its totient is φ = 52995168000.

The previous prime is 201131321203. The next prime is 201131321263. The reversal of 201131321220 is 22123131102.

201131321220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201131321193 and 201131321202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9060735 + ... + 9082905.

It is an arithmetic number, because the mean of its divisors is an integer number (4287510500).

Almost surely, 2^201131321220 is an apocalyptic number.

201131321220 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 201131321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308700756000).

201131321220 is an abundant number, since it is smaller than the sum of its proper divisors (416270190780).

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

201131321220 is a wasteful number, since it uses less digits than its factorization.

201131321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22786 (or 22781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201131321220 its reverse (22123131102), we get a palindrome (223254452322).

The spelling of 201131321220 in words is "two hundred one billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred twenty".