213330180 has 192 divisors, whose sum is σ = 710664192. Its totient is φ = 46809600.

The previous prime is 213330179. The next prime is 213330193. The reversal of 213330180 is 81033312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993687 + ... + 1993793.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2^213330180 is an apocalyptic number.

213330180 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 213330180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355332096).

213330180 is an abundant number, since it is smaller than the sum of its proper divisors (497334012).

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

213330180 is a wasteful number, since it uses less digits than its factorization.

213330180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 213330180 is about 14605.8269194182. The cubic root of 213330180 is about 597.5176888258.

Adding to 213330180 its reverse (81033312), we get a palindrome (294363492).

The spelling of 213330180 in words is "two hundred thirteen million, three hundred thirty thousand, one hundred eighty".