213325120 has 56 divisors (see below), whose sum is σ = 516636000. Its totient is φ = 83876352.

The previous prime is 213325111. The next prime is 213325127. The reversal of 213325120 is 21523312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213325127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13231 + ... + 24529.

Almost surely, 2^213325120 is an apocalyptic number.

213325120 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 213325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258318000).

213325120 is an abundant number, since it is smaller than the sum of its proper divisors (303310880).

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

213325120 is a wasteful number, since it uses less digits than its factorization.

213325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11375 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 213325120 is about 14605.6536998520. The cubic root of 213325120 is about 597.5129645944.

Adding to 213325120 its reverse (21523312), we get a palindrome (234848432).

The spelling of 213325120 in words is "two hundred thirteen million, three hundred twenty-five thousand, one hundred twenty".