220313210320000 has 160 divisors (see below), whose sum is σ = 626806821611520. Its totient is φ = 75535957632000.

The previous prime is 220313210319913. The next prime is 220313210320001. The reversal of 220313210320000 is 23012313022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 220313210320000.

It is not an unprimeable number, because it can be changed into a prime (220313210320001) 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 19 ways as a sum of consecutive naturals, for example, 196148224 + ... + 197268223.

It is an arithmetic number, because the mean of its divisors is an integer number (3917542635072).

Almost surely, 2^{220313210320000} is an apocalyptic number.

220313210320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220313210320000 is an abundant number, since it is smaller than the sum of its proper divisors (406493611291520).

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

220313210320000 is an frugal number, since it uses more digits than its factorization.

220313210320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393416488 (or 393416461 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 220313210320000 its reverse (23012313022), we get a palindrome (220336222633022).

The spelling of 220313210320000 in words is "two hundred twenty trillion, three hundred thirteen billion, two hundred ten million, three hundred twenty thousand".