213312100 has 18 divisors (see below), whose sum is σ = 462887474. Its totient is φ = 85324800.

The previous prime is 213312089. The next prime is 213312103. The reversal of 213312100 is 1213312.

213312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 71368704 + 141943396 = 8448^2 + 11914^2 .

It is not an unprimeable number, because it can be changed into a prime (213312103) 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, 1066461 + ... + 1066660.

Almost surely, 2^213312100 is an apocalyptic number.

213312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312100 is an abundant number, since it is smaller than the sum of its proper divisors (249575374).

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

213312100 is a wasteful number, since it uses less digits than its factorization.

213312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133135 (or 2133128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213312100 is about 14605.2079752395. The cubic root of 213312100 is about 597.5008082247.

Adding to 213312100 its reverse (1213312), we get a palindrome (214525412).

The spelling of 213312100 in words is "two hundred thirteen million, three hundred twelve thousand, one hundred".