221310133022232 has 160 divisors (see below), whose sum is σ = 624865244889600. Its totient is φ = 73176166941696.

The previous prime is 221310133022227. The next prime is 221310133022257. The reversal of 221310133022232 is 232220331013122.

221310133022232 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 101 + 330 + 2 + 223 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221310133022196 and 221310133022205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468274944 + ... + 468747312.

It is an arithmetic number, because the mean of its divisors is an integer number (3905407780560).

Almost surely, 2^{221310133022232} 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 221310133022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312432622444800).

221310133022232 is an abundant number, since it is smaller than the sum of its proper divisors (403555111867368).

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

221310133022232 is a wasteful number, since it uses less digits than its factorization.

221310133022232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478207 (or 478194 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221310133022232 its reverse (232220331013122), we get a palindrome (453530464035354).

The spelling of 221310133022232 in words is "two hundred twenty-one trillion, three hundred ten billion, one hundred thirty-three million, twenty-two thousand, two hundred thirty-two".