213033320 has 48 divisors (see below), whose sum is σ = 505914660. Its totient is φ = 80722944.

The previous prime is 213033313. The next prime is 213033323. The reversal of 213033320 is 23330312.

It can be written as a sum of positive squares in 2 ways, for example, as 211818916 + 1214404 = 14554^2 + 1102^2 .

It is not an unprimeable number, because it can be changed into a prime (213033323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7064 + ... + 21816.

Almost surely, 2^213033320 is an apocalyptic number.

213033320 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 213033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252957330).

213033320 is an abundant number, since it is smaller than the sum of its proper divisors (292881340).

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

213033320 is a wasteful number, since it uses less digits than its factorization.

213033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14779 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 213033320 is about 14595.6609990778. The cubic root of 213033320 is about 597.2404012238.

Adding to 213033320 its reverse (23330312), we get a palindrome (236363632).

The spelling of 213033320 in words is "two hundred thirteen million, thirty-three thousand, three hundred twenty".