213121102304 has 144 divisors (see below), whose sum is σ = 474546340800. Its totient is φ = 94078448640.

The previous prime is 213121102301. The next prime is 213121102349. The reversal of 213121102304 is 403201121312.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121102301) 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, 103005782 + ... + 103007850.

It is an arithmetic number, because the mean of its divisors is an integer number (3295460700).

Almost surely, 2^213121102304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237273170400).

213121102304 is an abundant number, since it is smaller than the sum of its proper divisors (261425238496).

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

213121102304 is a wasteful number, since it uses less digits than its factorization.

213121102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213121102304 its reverse (403201121312), we get a palindrome (616322223616).

The spelling of 213121102304 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred two thousand, three hundred four".