213100123001100 has 36 divisors (see below), whose sum is σ = 616569689217384. Its totient is φ = 56826699466880.

The previous prime is 213100123001099. The next prime is 213100123001107. The reversal of 213100123001100 is 1100321001312.

It is a happy number.

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 213100123001100.

It is not an unprimeable number, because it can be changed into a prime (213100123001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355166871369 + ... + 355166871968.

It is an arithmetic number, because the mean of its divisors is an integer number (17126935811594).

Almost surely, 2^{213100123001100} is an apocalyptic number.

213100123001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100123001100 is an abundant number, since it is smaller than the sum of its proper divisors (403469566216284).

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

213100123001100 is a wasteful number, since it uses less digits than its factorization.

213100123001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710333743354 (or 710333743347 counting only the distinct ones).

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

Adding to 213100123001100 its reverse (1100321001312), we get a palindrome (214200444002412).

The spelling of 213100123001100 in words is "two hundred thirteen trillion, one hundred billion, one hundred twenty-three million, one thousand, one hundred".