213103023102200 has 1152 divisors, whose sum is σ = 646300159142400. Its totient is φ = 64596639744000.

The previous prime is 213103023102191. The next prime is 213103023102283. The reversal of 213103023102200 is 2201320301312.

It is a super-4 number, since 4×213103023102200⁴ (a number of 58 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 332454013880 + ... + 332454014520.

It is an arithmetic number, because the mean of its divisors is an integer number (561024443700).

Almost surely, 2^{213103023102200} is an apocalyptic number.

213103023102200 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 213103023102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323150079571200).

213103023102200 is an abundant number, since it is smaller than the sum of its proper divisors (433197136040200).

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

213103023102200 is a wasteful number, since it uses less digits than its factorization.

213103023102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213103023102200 its reverse (2201320301312), we get a palindrome (215304343403512).

The spelling of 213103023102200 in words is "two hundred thirteen trillion, one hundred three billion, twenty-three million, one hundred two thousand, two hundred".