221333113332 has 180 divisors, whose sum is σ = 625991409120. Its totient is φ = 68003032896.

The previous prime is 221333113327. The next prime is 221333113349. The reversal of 221333113332 is 233311333122.

221333113332 is a `hidden beast` number, since 2 + 2 + 13 + 3 + 311 + 3 + 332 = 666.

It is a super-2 number, since 2×221333113332² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221333113296 and 221333113305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8414433 + ... + 8440695.

Almost surely, 2^221333113332 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 221333113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312995704560).

221333113332 is an abundant number, since it is smaller than the sum of its proper divisors (404658295788).

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

221333113332 is a wasteful number, since it uses less digits than its factorization.

221333113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26372 (or 26324 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 221333113332 its reverse (233311333122), we get a palindrome (454644446454).

The spelling of 221333113332 in words is "two hundred twenty-one billion, three hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-two".