201221131320 has 384 divisors, whose sum is σ = 746560488960. Its totient is φ = 46527022080.

The previous prime is 201221131313. The next prime is 201221131337. The reversal of 201221131320 is 23131122102.

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 = 201221131293 and 201221131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33969879 + ... + 33975801.

It is an arithmetic number, because the mean of its divisors is an integer number (1944167940).

Almost surely, 2^201221131320 is an apocalyptic number.

201221131320 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 201221131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373280244480).

201221131320 is an abundant number, since it is smaller than the sum of its proper divisors (545339357640).

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

201221131320 is a wasteful number, since it uses less digits than its factorization.

201221131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6340 counting only the distinct ones).

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

Adding to 201221131320 its reverse (23131122102), we get a palindrome (224352253422).

The spelling of 201221131320 in words is "two hundred one billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty".