213222223130100 has 288 divisors, whose sum is σ = 640840052694912. Its totient is φ = 54691718400000.

The previous prime is 213222223130029. The next prime is 213222223130101. The reversal of 213222223130100 is 1031322222312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213222223130101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 740903235 + ... + 741190965.

Almost surely, 2^{213222223130100} is an apocalyptic number.

213222223130100 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 213222223130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320420026347456).

213222223130100 is an abundant number, since it is smaller than the sum of its proper divisors (427617829564812).

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

213222223130100 is a wasteful number, since it uses less digits than its factorization.

213222223130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288547 (or 288540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213222223130100 its reverse (1031322222312), we get a palindrome (214253545352412).

It can be divided in two parts, 213222 and 223130100, that added together give a palindrome (223343322).

The spelling of 213222223130100 in words is "two hundred thirteen trillion, two hundred twenty-two billion, two hundred twenty-three million, one hundred thirty thousand, one hundred".