213223320100 has 72 divisors (see below), whose sum is σ = 529972329600. Its totient is φ = 72942213120.

The previous prime is 213223320061. The next prime is 213223320119. The reversal of 213223320100 is 1023322312.

It is a super-3 number, since 3×213223320100³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24904 + ... + 653503.

It is an arithmetic number, because the mean of its divisors is an integer number (7360726800).

Almost surely, 2^213223320100 is an apocalyptic number.

213223320100 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 213223320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264986164800).

213223320100 is an abundant number, since it is smaller than the sum of its proper divisors (316749009500).

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

213223320100 is a wasteful number, since it uses less digits than its factorization.

213223320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678877 (or 678870 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213223320100 its reverse (1023322312), we get a palindrome (214246642412).

The spelling of 213223320100 in words is "two hundred thirteen billion, two hundred twenty-three million, three hundred twenty thousand, one hundred".