213208100 has 72 divisors (see below), whose sum is σ = 530674368. Its totient is φ = 72835200.

The previous prime is 213208081. The next prime is 213208103. The reversal of 213208100 is 1802312.

It is a super-2 number, since 2×213208100² = 90915387811220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213208103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378419 + ... + 378981.

Almost surely, 2^213208100 is an apocalyptic number.

213208100 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 213208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265337184).

213208100 is an abundant number, since it is smaller than the sum of its proper divisors (317466268).

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

213208100 is a wasteful number, since it uses less digits than its factorization.

213208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 213208100 is about 14601.6471673575. The cubic root of 213208100 is about 597.4036888934.

The spelling of 213208100 in words is "two hundred thirteen million, two hundred eight thousand, one hundred".