213021013200 has 240 divisors, whose sum is σ = 696467298240. Its totient is φ = 55636439040.

The previous prime is 213021013189. The next prime is 213021013213. The reversal of 213021013200 is 2310120312.

It is a tau number, because it is divible by the number of its divisors (240).

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 213021013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40892196 + ... + 40897404.

It is an arithmetic number, because the mean of its divisors is an integer number (2901947076).

Almost surely, 2^213021013200 is an apocalyptic number.

213021013200 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 213021013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348233649120).

213021013200 is an abundant number, since it is smaller than the sum of its proper divisors (483446285040).

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

213021013200 is a wasteful number, since it uses less digits than its factorization.

213021013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5915 counting only the distinct ones).

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

Adding to 213021013200 its reverse (2310120312), we get a palindrome (215331133512).

The spelling of 213021013200 in words is "two hundred thirteen billion, twenty-one million, thirteen thousand, two hundred".