221133202131030 has 320 divisors, whose sum is σ = 636401640611520. Its totient is φ = 49152102924288.

The previous prime is 221133202131029. The next prime is 221133202131047. The reversal of 221133202131030 is 30131202331122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 431131366 + ... + 431643974.

It is an arithmetic number, because the mean of its divisors is an integer number (1988755126911).

Almost surely, 2^{221133202131030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221133202131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318200820305760).

221133202131030 is an abundant number, since it is smaller than the sum of its proper divisors (415268438480490).

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

221133202131030 is a wasteful number, since it uses less digits than its factorization.

221133202131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512813 (or 512792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 221133202131030 its reverse (30131202331122), we get a palindrome (251264404462152).

The spelling of 221133202131030 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, two hundred two million, one hundred thirty-one thousand, thirty".