213133320 has 96 divisors (see below), whose sum is σ = 711448920. Its totient is φ = 55296000.

The previous prime is 213133313. The next prime is 213133337. The reversal of 213133320 is 23331312.

213133320 is a `hidden beast` number, since 21 + 313 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212751396 + 381924 = 14586^2 + 618^2 .

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 = 213133293 and 213133302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5320 + ... + 21320.

Almost surely, 2^213133320 is an apocalyptic number.

213133320 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 213133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

213133320 is an abundant number, since it is smaller than the sum of its proper divisors (498315600).

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

213133320 is a wasteful number, since it uses less digits than its factorization.

213133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16055 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213133320 is about 14599.0862727775. The cubic root of 213133320 is about 597.3338368383. Note that the first 3 decimals are identical.

Adding to 213133320 its reverse (23331312), we get a palindrome (236464632).

The spelling of 213133320 in words is "two hundred thirteen million, one hundred thirty-three thousand, three hundred twenty".