213032320 has 64 divisors (see below), whose sum is σ = 521191440. Its totient is φ = 83220480.

The previous prime is 213032311. The next prime is 213032333. The reversal of 213032320 is 23230312.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213032294 and 213032303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23650 + ... + 31390.

Almost surely, 2^213032320 is an apocalyptic number.

213032320 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 213032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260595720).

213032320 is an abundant number, since it is smaller than the sum of its proper divisors (308159120).

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

213032320 is an equidigital number, since it uses as much as digits as its factorization.

213032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213032320 is about 14595.6267422814. The cubic root of 213032320 is about 597.2394667200.

Adding to 213032320 its reverse (23230312), we get a palindrome (236262632).

The spelling of 213032320 in words is "two hundred thirteen million, thirty-two thousand, three hundred twenty".