213103123200000 has 1728 divisors, whose sum is σ = 842679405378720. Its totient is φ = 51449856000000.

The previous prime is 213103123199959. The next prime is 213103123200029. The reversal of 213103123200000 is 2321301312.

213103123200000 is a `hidden beast` number, since 2 + 1 + 31 + 0 + 312 + 320 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×213103123200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 200851199470 + ... + 200851200530.

Almost surely, 2^{213103123200000} is an apocalyptic number.

213103123200000 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 213103123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421339702689360).

213103123200000 is an abundant number, since it is smaller than the sum of its proper divisors (629576282178720).

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

213103123200000 is a wasteful number, since it uses less digits than its factorization.

213103123200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213103123200000 its reverse (2321301312), we get a palindrome (213105444501312).

The spelling of 213103123200000 in words is "two hundred thirteen trillion, one hundred three billion, one hundred twenty-three million, two hundred thousand".