213313120 has 48 divisors (see below), whose sum is σ = 505280160. Its totient is φ = 85100544.

The previous prime is 213313099. The next prime is 213313123. The reversal of 213313120 is 21313312.

213313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213313094 and 213313103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313123) 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, 67741 + ... + 70819.

It is an arithmetic number, because the mean of its divisors is an integer number (10526670).

Almost surely, 2^213313120 is an apocalyptic number.

213313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313120 is an abundant number, since it is smaller than the sum of its proper divisors (291967040).

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

213313120 is a wasteful number, since it uses less digits than its factorization.

213313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213313120 is about 14605.2428942486. The cubic root of 213313120 is about 597.5017605849.

Adding to 213313120 its reverse (21313312), we get a palindrome (234626432).

The spelling of 213313120 in words is "two hundred thirteen million, three hundred thirteen thousand, one hundred twenty".