213303220032 has 112 divisors (see below), whose sum is σ = 645523240320. Its totient is φ = 60893233152.

The previous prime is 213303220019. The next prime is 213303220037. The reversal of 213303220032 is 230022303312.

213303220032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213303219990 and 213303220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213303220037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1570444 + ... + 1700852.

It is an arithmetic number, because the mean of its divisors is an integer number (5763600360).

Almost surely, 2^213303220032 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 213303220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322761620160).

213303220032 is an abundant number, since it is smaller than the sum of its proper divisors (432220020288).

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

213303220032 is a wasteful number, since it uses less digits than its factorization.

213303220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131648 (or 131638 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213303220032 its reverse (230022303312), we get a palindrome (443325523344).

The spelling of 213303220032 in words is "two hundred thirteen billion, three hundred three million, two hundred twenty thousand, thirty-two".