213144100 has 72 divisors (see below), whose sum is σ = 502412288. Its totient is φ = 78019200.

The previous prime is 213144073. The next prime is 213144119. The reversal of 213144100 is 1441312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164455 + ... + 165745.

Almost surely, 2^213144100 is an apocalyptic number.

213144100 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 213144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251206144).

213144100 is an abundant number, since it is smaller than the sum of its proper divisors (289268188).

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

213144100 is a wasteful number, since it uses less digits than its factorization.

213144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213144100 is about 14599.4554692975. The cubic root of 213144100 is about 597.3439074524.

Adding to 213144100 its reverse (1441312), we get a palindrome (214585412).

The spelling of 213144100 in words is "two hundred thirteen million, one hundred forty-four thousand, one hundred".