213223012002 has 192 divisors, whose sum is σ = 621780606720. Its totient is φ = 50999155200.

The previous prime is 213223011973. The next prime is 213223012019. The reversal of 213223012002 is 200210322312.

213223012002 is a `hidden beast` number, since 21 + 322 + 301 + 20 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7571524 + ... + 7599632.

It is an arithmetic number, because the mean of its divisors is an integer number (3238440660).

Almost surely, 2^213223012002 is an apocalyptic number.

213223012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213223012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310890303360).

213223012002 is an abundant number, since it is smaller than the sum of its proper divisors (408557594718).

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

213223012002 is a wasteful number, since it uses less digits than its factorization.

213223012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28569 (or 28566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213223012002 its reverse (200210322312), we get a palindrome (413433334314).

The spelling of 213223012002 in words is "two hundred thirteen billion, two hundred twenty-three million, twelve thousand, two".