213115320 has 128 divisors (see below), whose sum is σ = 775008000. Its totient is φ = 51661440.

The previous prime is 213115319. The next prime is 213115321. The reversal of 213115320 is 23511312.

213115320 is a `hidden beast` number, since 2 + 131 + 1 + 532 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213115319) and next prime (213115321).

It is a super-3 number, since 3×213115320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213115293 and 213115302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213115321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (6054750).

Almost surely, 2^213115320 is an apocalyptic number.

213115320 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 213115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387504000).

213115320 is an abundant number, since it is smaller than the sum of its proper divisors (561892680).

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

213115320 is a wasteful number, since it uses less digits than its factorization.

213115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970 (or 17960 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213115320 is about 14598.4697828231. The cubic root of 213115320 is about 597.3170205849.

Adding to 213115320 its reverse (23511312), we get a palindrome (236626632).

The spelling of 213115320 in words is "two hundred thirteen million, one hundred fifteen thousand, three hundred twenty".