213022310100 has 288 divisors, whose sum is σ = 654895584000. Its totient is φ = 53366476800.

The previous prime is 213022310069. The next prime is 213022310107. The reversal of 213022310100 is 1013220312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213022310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022310107) 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, 213662802 + ... + 213663798.

It is an arithmetic number, because the mean of its divisors is an integer number (2273943000).

Almost surely, 2^213022310100 is an apocalyptic number.

213022310100 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 213022310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327447792000).

213022310100 is an abundant number, since it is smaller than the sum of its proper divisors (441873273900).

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

213022310100 is a wasteful number, since it uses less digits than its factorization.

213022310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213022310100 its reverse (1013220312), we get a palindrome (214035530412).

The spelling of 213022310100 in words is "two hundred thirteen billion, twenty-two million, three hundred ten thousand, one hundred".