213322100 has 36 divisors (see below), whose sum is σ = 467514348. Its totient is φ = 84480000.

The previous prime is 213322091. The next prime is 213322117. The reversal of 213322100 is 1223312.

It is a happy number.

213322100 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 6 ways, for example, as 15413476 + 197908624 = 3926^2 + 14068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461 + ... + 20660.

Almost surely, 2^213322100 is an apocalyptic number.

213322100 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 213322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233757174).

213322100 is an abundant number, since it is smaller than the sum of its proper divisors (254192248).

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

213322100 is a wasteful number, since it uses less digits than its factorization.

213322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21236 (or 21229 counting only the distinct ones).

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

The square root of 213322100 is about 14605.5503148632. The cubic root of 213322100 is about 597.5101449583.

Adding to 213322100 its reverse (1223312), we get a palindrome (214545412).

It can be divided in two parts, 21332 and 2100, that added together give a palindrome (23432).

The spelling of 213322100 in words is "two hundred thirteen million, three hundred twenty-two thousand, one hundred".