213320520 has 384 divisors, whose sum is σ = 861840000. Its totient is φ = 46738944.

The previous prime is 213320509. The next prime is 213320567. The reversal of 213320520 is 25023312.

213320520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213320493 and 213320502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534611 + ... + 1534749.

It is an arithmetic number, because the mean of its divisors is an integer number (2244375).

Almost surely, 2^213320520 is an apocalyptic number.

213320520 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 213320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920000).

213320520 is an abundant number, since it is smaller than the sum of its proper divisors (648519480).

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

213320520 is a wasteful number, since it uses less digits than its factorization.

213320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 213320520 is about 14605.4962257364. The cubic root of 213320520 is about 597.5086697738.

Adding to 213320520 its reverse (25023312), we get a palindrome (238343832).

The spelling of 213320520 in words is "two hundred thirteen million, three hundred twenty thousand, five hundred twenty".