213041300 has 72 divisors (see below), whose sum is σ = 502467840. Its totient is φ = 78105600.

The previous prime is 213041299. The next prime is 213041303. The reversal of 213041300 is 3140312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213041303) by changing a digit.

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, 57092 + ... + 60708.

It is an arithmetic number, because the mean of its divisors is an integer number (6978720).

Almost surely, 2^213041300 is an apocalyptic number.

213041300 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 213041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233920).

213041300 is an abundant number, since it is smaller than the sum of its proper divisors (289426540).

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

213041300 is a wasteful number, since it uses less digits than its factorization.

213041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3674 counting only the distinct ones).

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

The square root of 213041300 is about 14595.9343654320. The cubic root of 213041300 is about 597.2478584593.

Adding to 213041300 its reverse (3140312), we get a palindrome (216181612).

The spelling of 213041300 in words is "two hundred thirteen million, forty-one thousand, three hundred".