213311220 has 48 divisors (see below), whose sum is σ = 608549760. Its totient is φ = 55808896.

The previous prime is 213311213. The next prime is 213311221. The reversal of 213311220 is 22113312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30360 + ... + 36719.

It is an arithmetic number, because the mean of its divisors is an integer number (12678120).

Almost surely, 2^213311220 is an apocalyptic number.

213311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213311220 is an abundant number, since it is smaller than the sum of its proper divisors (395238540).

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

213311220 is a wasteful number, since it uses less digits than its factorization.

213311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67144 (or 67142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213311220 is about 14605.1778489685. The cubic root of 213311220 is about 597.4999865782.

Adding to 213311220 its reverse (22113312), we get a palindrome (235424532).

It can be divided in two parts, 213311 and 220, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 213311220 in words is "two hundred thirteen million, three hundred eleven thousand, two hundred twenty".