213132120 has 64 divisors (see below), whose sum is σ = 673056000. Its totient is φ = 53843328.

The previous prime is 213132091. The next prime is 213132137. The reversal of 213132120 is 21231312.

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 213132120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44460 + ... + 49019.

It is an arithmetic number, because the mean of its divisors is an integer number (10516500).

Almost surely, 2^213132120 is an apocalyptic number.

213132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132120 is an abundant number, since it is smaller than the sum of its proper divisors (459923880).

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

213132120 is a wasteful number, since it uses less digits than its factorization.

213132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93512 (or 93508 counting only the distinct ones).

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

The square root of 213132120 is about 14599.0451742571. The cubic root of 213132120 is about 597.3327157842.

Adding to 213132120 its reverse (21231312), we get a palindrome (234363432).

The spelling of 213132120 in words is "two hundred thirteen million, one hundred thirty-two thousand, one hundred twenty".