213322121010 has 96 divisors (see below), whose sum is σ = 569774071152. Its totient is φ = 55334223360.

The previous prime is 213322121009. The next prime is 213322121039. The reversal of 213322121010 is 10121223312.

213322121010 is a `hidden beast` number, since 21 + 332 + 212 + 101 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107201891889 + 106120229121 = 327417^2 + 325761^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21030540 + ... + 21040680.

Almost surely, 2^213322121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213322121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284887035576).

213322121010 is an abundant number, since it is smaller than the sum of its proper divisors (356451950142).

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

213322121010 is a wasteful number, since it uses less digits than its factorization.

213322121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213322121010 its reverse (10121223312), we get a palindrome (223443344322).

It can be divided in two parts, 213 and 322121010, that added together give a palindrome (322121223).

The spelling of 213322121010 in words is "two hundred thirteen billion, three hundred twenty-two million, one hundred twenty-one thousand, ten".