221333311312020 has 144 divisors (see below), whose sum is σ = 673098822094608. Its totient is φ = 58871006668800.

The previous prime is 221333311311901. The next prime is 221333311312031. The reversal of 221333311312020 is 20213113333122.

221333311312020 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 33 + 311 + 312 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26755418334096 + 194577892977924 = 5172564^2 + 13949118^2 .

It is a congruent number.

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, 219707470 + ... + 220712570.

It is an arithmetic number, because the mean of its divisors is an integer number (4674297375657).

Almost surely, 2^{221333311312020} is an apocalyptic number.

221333311312020 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 221333311312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336549411047304).

221333311312020 is an abundant number, since it is smaller than the sum of its proper divisors (451765510782588).

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

221333311312020 is a wasteful number, since it uses less digits than its factorization.

221333311312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008250 (or 1008245 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221333311312020 its reverse (20213113333122), we get a palindrome (241546424645142).

The spelling of 221333311312020 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, three hundred eleven million, three hundred twelve thousand, twenty".