213000320 has 64 divisors (see below), whose sum is σ = 548394840. Its totient is φ = 78643200.

The previous prime is 213000311. The next prime is 213000329. The reversal of 213000320 is 23000312.

It is an interprime number because it is at equal distance from previous prime (213000311) and next prime (213000329).

It can be written as a sum of positive squares in 4 ways, for example, as 197571136 + 15429184 = 14056^2 + 3928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (213000329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4481 + ... + 21120.

Almost surely, 2^213000320 is an apocalyptic number.

213000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000320 is an abundant number, since it is smaller than the sum of its proper divisors (335394520).

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

213000320 is a wasteful number, since it uses less digits than its factorization.

213000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25633 (or 25621 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 213000320 is about 14594.5304823417. The cubic root of 213000320 is about 597.2095610544.

Adding to 213000320 its reverse (23000312), we get a palindrome (236000632).

The spelling of 213000320 in words is "two hundred thirteen million, three hundred twenty", and thus it is an aban number.