213120321320 has 32 divisors (see below), whose sum is σ = 479562318720. Its totient is φ = 85240733760.

The previous prime is 213120321289. The next prime is 213120321329. The reversal of 213120321320 is 23123021312.

213120321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213120321292 and 213120321301.

It is not an unprimeable number, because it can be changed into a prime (213120321329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248069 + ... + 698411.

It is an arithmetic number, because the mean of its divisors is an integer number (14986322460).

Almost surely, 2^213120321320 is an apocalyptic number.

213120321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120321320 is an abundant number, since it is smaller than the sum of its proper divisors (266441997400).

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

213120321320 is a wasteful number, since it uses less digits than its factorization.

213120321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462185 (or 462181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213120321320 its reverse (23123021312), we get a palindrome (236243342632).

The spelling of 213120321320 in words is "two hundred thirteen billion, one hundred twenty million, three hundred twenty-one thousand, three hundred twenty".