213101312100 has 144 divisors (see below), whose sum is σ = 655721656128. Its totient is φ = 53248348160.

The previous prime is 213101312093. The next prime is 213101312107. The reversal of 213101312100 is 1213101312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213101312093) and next prime (213101312107).

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 213101312100.

It is not an unprimeable number, because it can be changed into a prime (213101312107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065664 + ... + 1249736.

It is an arithmetic number, because the mean of its divisors is an integer number (4553622612).

Almost surely, 2^213101312100 is an apocalyptic number.

213101312100 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 213101312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327860828064).

213101312100 is an abundant number, since it is smaller than the sum of its proper divisors (442620344028).

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

213101312100 is a wasteful number, since it uses less digits than its factorization.

213101312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184334 (or 184327 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213101312100 its reverse (1213101312), we get a palindrome (214314413412).

The spelling of 213101312100 in words is "two hundred thirteen billion, one hundred one million, three hundred twelve thousand, one hundred".