213132320 has 24 divisors (see below), whose sum is σ = 503525484. Its totient is φ = 85252864.

The previous prime is 213132301. The next prime is 213132331. The reversal of 213132320 is 23231312.

It can be written as a sum of positive squares in 2 ways, for example, as 193877776 + 19254544 = 13924^2 + 4388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665879 + ... + 666198.

Almost surely, 2^213132320 is an apocalyptic number.

213132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132320 is an abundant number, since it is smaller than the sum of its proper divisors (290393164).

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

213132320 is a wasteful number, since it uses less digits than its factorization.

213132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332092 (or 1332084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213132320 is about 14599.0520240185. The cubic root of 213132320 is about 597.3329026269.

Adding to 213132320 its reverse (23231312), we get a palindrome (236363632).

The spelling of 213132320 in words is "two hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".