213411100 has 72 divisors (see below), whose sum is σ = 534306080. Its totient is φ = 72472320.

The previous prime is 213411071. The next prime is 213411151. The reversal of 213411100 is 1114312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74902 + ... + 77698.

Almost surely, 2^213411100 is an apocalyptic number.

213411100 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 213411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267153040).

213411100 is an abundant number, since it is smaller than the sum of its proper divisors (320894980).

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

213411100 is a wasteful number, since it uses less digits than its factorization.

213411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 213411100 is about 14608.5967840857. The cubic root of 213411100 is about 597.5932290349.

Adding to 213411100 its reverse (1114312), we get a palindrome (214525412).

The spelling of 213411100 in words is "two hundred thirteen million, four hundred eleven thousand, one hundred".