213100344 has 96 divisors (see below), whose sum is σ = 589680000. Its totient is φ = 69512256.

The previous prime is 213100343. The next prime is 213100357. The reversal of 213100344 is 443001312.

It is a super-2 number, since 2×213100344² = 90823513225836672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213100343) 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, 1070757 + ... + 1070955.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2^213100344 is an apocalyptic number.

213100344 is a gapful number since it is divisible by the number (24) 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 213100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840000).

213100344 is an abundant number, since it is smaller than the sum of its proper divisors (376579656).

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

213100344 is a wasteful number, since it uses less digits than its factorization.

213100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213100344 is about 14597.9568433394. The cubic root of 213100344 is about 597.3030287404.

Adding to 213100344 its reverse (443001312), we get a palindrome (656101656).

It can be divided in two parts, 213100 and 344, that added together give a square (213444 = 462²).

The spelling of 213100344 in words is "two hundred thirteen million, one hundred thousand, three hundred forty-four".