213130211223000 has 256 divisors, whose sum is σ = 684134562608640. Its totient is φ = 55201787712000.

The previous prime is 213130211222927. The next prime is 213130211223001. The reversal of 213130211223000 is 322112031312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130211223001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61699659 + ... + 65062341.

It is an arithmetic number, because the mean of its divisors is an integer number (2672400635190).

Almost surely, 2^{213130211223000} is an apocalyptic number.

213130211223000 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 213130211223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342067281304320).

213130211223000 is an abundant number, since it is smaller than the sum of its proper divisors (471004351385640).

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

213130211223000 is a wasteful number, since it uses less digits than its factorization.

213130211223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363315 (or 3363301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213130211223000 its reverse (322112031312), we get a palindrome (213452323254312).

The spelling of 213130211223000 in words is "two hundred thirteen trillion, one hundred thirty billion, two hundred eleven million, two hundred twenty-three thousand".