213301220 has 72 divisors (see below), whose sum is σ = 518380800. Its totient is φ = 73465920.

The previous prime is 213301217. The next prime is 213301223. The reversal of 213301220 is 22103312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213301217) and next prime (213301223).

It is a junction number, because it is equal to n+sod(n) for n = 213301195 and 213301204.

It is not an unprimeable number, because it can be changed into a prime (213301223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43661 + ... + 48299.

Almost surely, 2^213301220 is an apocalyptic number.

213301220 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 213301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259190400).

213301220 is an abundant number, since it is smaller than the sum of its proper divisors (305079580).

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

213301220 is a wasteful number, since it uses less digits than its factorization.

213301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213301220 is about 14604.8355006142. The cubic root of 213301220 is about 597.4906495272.

Adding to 213301220 its reverse (22103312), we get a palindrome (235404532).

The spelling of 213301220 in words is "two hundred thirteen million, three hundred one thousand, two hundred twenty".