213120100320 has 48 divisors (see below), whose sum is σ = 671328317520. Its totient is φ = 56832026624.

The previous prime is 213120100289. The next prime is 213120100363. The reversal of 213120100320 is 23001021312.

213120100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213120100320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221999625 + ... + 222000584.

It is an arithmetic number, because the mean of its divisors is an integer number (13986006615).

Almost surely, 2^213120100320 is an apocalyptic number.

213120100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120100320 is an abundant number, since it is smaller than the sum of its proper divisors (458208217200).

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

213120100320 is a wasteful number, since it uses less digits than its factorization.

213120100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444000227 (or 444000219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213120100320 its reverse (23001021312), we get a palindrome (236121121632).

The spelling of 213120100320 in words is "two hundred thirteen billion, one hundred twenty million, one hundred thousand, three hundred twenty".