213303120 has 160 divisors (see below), whose sum is σ = 720489600. Its totient is φ = 51996672.

The previous prime is 213303119. The next prime is 213303151. The reversal of 213303120 is 21303312.

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 213303120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131434 + ... + 133046.

It is an arithmetic number, because the mean of its divisors is an integer number (4503060).

Almost surely, 2^213303120 is an apocalyptic number.

213303120 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 213303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360244800).

213303120 is an abundant number, since it is smaller than the sum of its proper divisors (507186480).

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

213303120 is a wasteful number, since it uses less digits than its factorization.

213303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213303120 is about 14604.9005474190. The cubic root of 213303120 is about 597.4924235893.

Adding to 213303120 its reverse (21303312), we get a palindrome (234606432).

The spelling of 213303120 in words is "two hundred thirteen million, three hundred three thousand, one hundred twenty".