213130320 has 80 divisors (see below), whose sum is σ = 711537792. Its totient is φ = 52462080.

The previous prime is 213130303. The next prime is 213130327. The reversal of 213130320 is 23031312.

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

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 213130320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31036 + ... + 37275.

Almost surely, 2^213130320 is an apocalyptic number.

213130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130320 is an abundant number, since it is smaller than the sum of its proper divisors (498407472).

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

213130320 is a wasteful number, since it uses less digits than its factorization.

213130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68340 (or 68334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213130320 is about 14598.9835262596. The cubic root of 213130320 is about 597.3310341952.

Adding to 213130320 its reverse (23031312), we get a palindrome (236161632).

The spelling of 213130320 in words is "two hundred thirteen million, one hundred thirty thousand, three hundred twenty".