213030320 has 80 divisors (see below), whose sum is σ = 515859840. Its totient is φ = 81748992.

The previous prime is 213030313. The next prime is 213030331. The reversal of 213030320 is 23030312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 213030295 and 213030304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198746 + ... + 199814.

It is an arithmetic number, because the mean of its divisors is an integer number (6448248).

Almost surely, 2^213030320 is an apocalyptic number.

213030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257929920).

213030320 is an abundant number, since it is smaller than the sum of its proper divisors (302829520).

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

213030320 is a wasteful number, since it uses less digits than its factorization.

213030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 213030320 is about 14595.5582284474. The cubic root of 213030320 is about 597.2375977036.

Adding to 213030320 its reverse (23030312), we get a palindrome (236060632).

The spelling of 213030320 in words is "two hundred thirteen million, thirty thousand, three hundred twenty".