213120102300 has 144 divisors (see below), whose sum is σ = 705301857792. Its totient is φ = 48672748800.

The previous prime is 213120102277. The next prime is 213120102337. The reversal of 213120102300 is 3201021312.

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 213120102300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2526810 + ... + 2609790.

It is an arithmetic number, because the mean of its divisors is an integer number (4897929568).

Almost surely, 2^213120102300 is an apocalyptic number.

213120102300 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 213120102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352650928896).

213120102300 is an abundant number, since it is smaller than the sum of its proper divisors (492181755492).

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

213120102300 is a wasteful number, since it uses less digits than its factorization.

213120102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84228 (or 84221 counting only the distinct ones).

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

Adding to 213120102300 its reverse (3201021312), we get a palindrome (216321123612).

The spelling of 213120102300 in words is "two hundred thirteen billion, one hundred twenty million, one hundred two thousand, three hundred".