213301320 has 64 divisors (see below), whose sum is σ = 641520000. Its totient is φ = 56736768.

The previous prime is 213301307. The next prime is 213301331. The reversal of 213301320 is 23103312.

It is a super-2 number, since 2×213301320² = 90994906227484800, which contains 22 as substring.

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 213301320.

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, 50656 + ... + 54704.

It is an arithmetic number, because the mean of its divisors is an integer number (10023750).

Almost surely, 2^213301320 is an apocalyptic number.

213301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301320 is an abundant number, since it is smaller than the sum of its proper divisors (428218680).

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

213301320 is a wasteful number, since it uses less digits than its factorization.

213301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4498 counting only the distinct ones).

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

The square root of 213301320 is about 14604.8389241374. The cubic root of 213301320 is about 597.4907428991.

Adding to 213301320 its reverse (23103312), we get a palindrome (236404632).

The spelling of 213301320 in words is "two hundred thirteen million, three hundred one thousand, three hundred twenty".