220133313321012 has 1440 divisors, whose sum is σ = 746963832115200. Its totient is φ = 55990812294144.

The previous prime is 220133313320983. The next prime is 220133313321017. The reversal of 220133313321012 is 210123313331022.

220133313321012 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 331 + 3 + 321 + 0 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220133313321017) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 205924520814 + ... + 205924521882.

Almost surely, 2^{220133313321012} 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 220133313321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373481916057600).

220133313321012 is an abundant number, since it is smaller than the sum of its proper divisors (526830518794188).

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

220133313321012 is a wasteful number, since it uses less digits than its factorization.

220133313321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1258 counting only the distinct ones).

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

Adding to 220133313321012 its reverse (210123313331022), we get a palindrome (430256626652034).

The spelling of 220133313321012 in words is "two hundred twenty trillion, one hundred thirty-three billion, three hundred thirteen million, three hundred twenty-one thousand, twelve".