213312220 has 48 divisors (see below), whose sum is σ = 489688416. Its totient is φ = 77408000.

The previous prime is 213312173. The next prime is 213312223. The reversal of 213312220 is 22213312.

It is a junction number, because it is equal to n+sod(n) for n = 213312194 and 213312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312223) 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, 180030 + ... + 181210.

It is an arithmetic number, because the mean of its divisors is an integer number (10201842).

Almost surely, 2^213312220 is an apocalyptic number.

213312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312220 is an abundant number, since it is smaller than the sum of its proper divisors (276376196).

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

213312220 is a wasteful number, since it uses less digits than its factorization.

213312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213312220 is about 14605.2120833626. The cubic root of 213312220 is about 597.5009202673.

Adding to 213312220 its reverse (22213312), we get a palindrome (235525532).

The spelling of 213312220 in words is "two hundred thirteen million, three hundred twelve thousand, two hundred twenty".