213000341212100 has 144 divisors (see below), whose sum is σ = 499799891384640. Its totient is φ = 78324899520000.

The previous prime is 213000341212049. The next prime is 213000341212163. The reversal of 213000341212100 is 1212143000312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854554271 + ... + 3854609529.

It is an arithmetic number, because the mean of its divisors is an integer number (3470832579060).

Almost surely, 2^{213000341212100} is an apocalyptic number.

213000341212100 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 213000341212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249899945692320).

213000341212100 is an abundant number, since it is smaller than the sum of its proper divisors (286799550172540).

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

213000341212100 is a wasteful number, since it uses less digits than its factorization.

213000341212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67350 (or 67343 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213000341212100 its reverse (1212143000312), we get a palindrome (214212484212412).

The spelling of 213000341212100 in words is "two hundred thirteen trillion, three hundred forty-one million, two hundred twelve thousand, one hundred".