213511320 has 96 divisors (see below), whose sum is σ = 757008720. Its totient is φ = 51759360.

The previous prime is 213511289. The next prime is 213511321. The reversal of 213511320 is 23115312.

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 = 213511293 and 213511302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213511321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22999 + ... + 30918.

Almost surely, 2^213511320 is an apocalyptic number.

213511320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213511320 is an abundant number, since it is smaller than the sum of its proper divisors (543497400).

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

213511320 is a wasteful number, since it uses less digits than its factorization.

213511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53945 (or 53938 counting only the distinct ones).

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

The square root of 213511320 is about 14612.0265534935. The cubic root of 213511320 is about 597.6867596600.

Adding to 213511320 its reverse (23115312), we get a palindrome (236626632).

The spelling of 213511320 in words is "two hundred thirteen million, five hundred eleven thousand, three hundred twenty".