213031322100 has 216 divisors, whose sum is σ = 686429529240. Its totient is φ = 55261163520.

The previous prime is 213031322083. The next prime is 213031322149. The reversal of 213031322100 is 1223130312.

213031322100 is a `hidden beast` number, since 2 + 130 + 313 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 440244324 + 212591077776 = 20982^2 + 461076^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45585364 + ... + 45590036.

Almost surely, 2^213031322100 is an apocalyptic number.

213031322100 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 213031322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343214764620).

213031322100 is an abundant number, since it is smaller than the sum of its proper divisors (473398207140).

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

213031322100 is a wasteful number, since it uses less digits than its factorization.

213031322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213031322100 its reverse (1223130312), we get a palindrome (214254452412).

The spelling of 213031322100 in words is "two hundred thirteen billion, thirty-one million, three hundred twenty-two thousand, one hundred".