320213211300 has 108 divisors (see below), whose sum is σ = 1003828081620. Its totient is φ = 85378487040.

The previous prime is 320213211289. The next prime is 320213211379. The reversal of 320213211300 is 3112312023.

320213211300 is a `hidden beast` number, since 3 + 20 + 21 + 321 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2090916 + 320211120384 = 1446^2 + 565872^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8019786 + ... + 8059614.

Almost surely, 2^320213211300 is an apocalyptic number.

320213211300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320213211300 is an abundant number, since it is smaller than the sum of its proper divisors (683614870320).

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

320213211300 is a wasteful number, since it uses less digits than its factorization.

320213211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48782 (or 48772 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320213211300 its reverse (3112312023), we get a palindrome (323325523323).

The spelling of 320213211300 in words is "three hundred twenty billion, two hundred thirteen million, two hundred eleven thousand, three hundred".