213321030320 has 40 divisors (see below), whose sum is σ = 496661336640. Its totient is φ = 85209712640.

The previous prime is 213321030271. The next prime is 213321030347. The reversal of 213321030320 is 23030123312.

213321030320 is digitally balanced in base 2 and base 3, because in such bases 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 (40).

It is a super-3 number, since 3×213321030320³ (a number of 35 digits) contains 333 as substring.

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 = 213321030292 and 213321030301.

It is an unprimeable number.

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, 1796801 + ... + 1911840.

It is an arithmetic number, because the mean of its divisors is an integer number (12416533416).

Almost surely, 2^213321030320 is an apocalyptic number.

213321030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213321030320 is an abundant number, since it is smaller than the sum of its proper divisors (283340306320).

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

213321030320 is a wasteful number, since it uses less digits than its factorization.

213321030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709373 (or 3709367 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213321030320 its reverse (23030123312), we get a palindrome (236351153632).

The spelling of 213321030320 in words is "two hundred thirteen billion, three hundred twenty-one million, thirty thousand, three hundred twenty".