213413100 has 72 divisors (see below), whose sum is σ = 624491280. Its totient is φ = 56263680.

The previous prime is 213413099. The next prime is 213413107. The reversal of 213413100 is 1314312.

It is a super-2 number, since 2×213413100² = 91090302503220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213413100.

It is not an unprimeable number, because it can be changed into a prime (213413107) 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, 22704 + ... + 30696.

It is an arithmetic number, because the mean of its divisors is an integer number (8673490).

Almost surely, 2^213413100 is an apocalyptic number.

213413100 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 213413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312245640).

213413100 is an abundant number, since it is smaller than the sum of its proper divisors (411078180).

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

213413100 is a wasteful number, since it uses less digits than its factorization.

213413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213413100 is about 14608.6652367696. The cubic root of 213413100 is about 597.5950958274.

Adding to 213413100 its reverse (1314312), we get a palindrome (214727412).

The spelling of 213413100 in words is "two hundred thirteen million, four hundred thirteen thousand, one hundred".