213300012100 has 72 divisors (see below), whose sum is σ = 529759718208. Its totient is φ = 73024195200.

The previous prime is 213300012073. The next prime is 213300012139. The reversal of 213300012100 is 1210003312.

213300012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255030 + ... + 701170.

It is an arithmetic number, because the mean of its divisors is an integer number (7357773864).

Almost surely, 2^213300012100 is an apocalyptic number.

213300012100 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 213300012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264879859104).

213300012100 is an abundant number, since it is smaller than the sum of its proper divisors (316459706108).

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

213300012100 is a wasteful number, since it uses less digits than its factorization.

213300012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446845 (or 446838 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213300012100 its reverse (1210003312), we get a palindrome (214510015412).

The spelling of 213300012100 in words is "two hundred thirteen billion, three hundred million, twelve thousand, one hundred".