213102341414200 has 288 divisors, whose sum is σ = 583178625473760. Its totient is φ = 72203636736000.

The previous prime is 213102341414177. The next prime is 213102341414203. The reversal of 213102341414200 is 2414143201312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102341414203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285228324 + ... + 285974476.

It is an arithmetic number, because the mean of its divisors is an integer number (2024925782895).

Almost surely, 2^{213102341414200} is an apocalyptic number.

213102341414200 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 213102341414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291589312736880).

213102341414200 is an abundant number, since it is smaller than the sum of its proper divisors (370076284059560).

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

213102341414200 is a wasteful number, since it uses less digits than its factorization.

213102341414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746527 (or 746511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 213102341414200 its reverse (2414143201312), we get a palindrome (215516484615512).

The spelling of 213102341414200 in words is "two hundred thirteen trillion, one hundred two billion, three hundred forty-one million, four hundred fourteen thousand, two hundred".