213314000 has 40 divisors (see below), whose sum is σ = 515798088. Its totient is φ = 85324800.

The previous prime is 213313993. The next prime is 213314009. The reversal of 213314000 is 413312.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 212693056 = 788^2 + 14584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314009) 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, 51329 + ... + 55328.

Almost surely, 2^213314000 is an apocalyptic number.

213314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213314000 is an abundant number, since it is smaller than the sum of its proper divisors (302484088).

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

213314000 is a wasteful number, since it uses less digits than its factorization.

213314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106680 (or 106664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213314000 is about 14605.2730203855. The cubic root of 213314000 is about 597.5025822265.

Adding to 213314000 its reverse (413312), we get a palindrome (213727312).

The spelling of 213314000 in words is "two hundred thirteen million, three hundred fourteen thousand".