221313321123210 has 128 divisors (see below), whose sum is σ = 605133757071360. Its totient is φ = 57526032126528.

The previous prime is 221313321123149. The next prime is 221313321123313. The reversal of 221313321123210 is 12321123313122.

221313321123210 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 3 + 321 + 12 + 321 + 0 = 666.

It is a super-2 number, since 2×221313321123210² (a number of 29 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 13917082 + ... + 25225221.

It is an arithmetic number, because the mean of its divisors is an integer number (4727607477120).

Almost surely, 2^{221313321123210} is an apocalyptic number.

221313321123210 is an abundant number, since it is smaller than the sum of its proper divisors (383820435948150).

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

221313321123210 is a wasteful number, since it uses less digits than its factorization.

221313321123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39142849 (or 39142843 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221313321123210 its reverse (12321123313122), we get a palindrome (233634444436332).

The spelling of 221313321123210 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred ten".