213310400 has 42 divisors (see below), whose sum is σ = 524880840. Its totient is φ = 85323520.

The previous prime is 213310387. The next prime is 213310403. The reversal of 213310400 is 4013312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213310403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65060 + ... + 68259.

Almost surely, 2^213310400 is an apocalyptic number.

213310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213310400 is an abundant number, since it is smaller than the sum of its proper divisors (311570440).

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

213310400 is a wasteful number, since it uses less digits than its factorization.

213310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133341 (or 133326 counting only the distinct ones).

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

The square root of 213310400 is about 14605.1497767055. The cubic root of 213310400 is about 597.4992209510.

Adding to 213310400 its reverse (4013312), we get a palindrome (217323712).

The spelling of 213310400 in words is "two hundred thirteen million, three hundred ten thousand, four hundred".