213122131011300 has 288 divisors, whose sum is σ = 724259531923200. Its totient is φ = 47365016371200.

The previous prime is 213122131011289. The next prime is 213122131011313. The reversal of 213122131011300 is 3110131221312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114147676 + ... + 115999724.

It is an arithmetic number, because the mean of its divisors is an integer number (2514790041400).

Almost surely, 2^{213122131011300} is an apocalyptic number.

213122131011300 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 213122131011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362129765961600).

213122131011300 is an abundant number, since it is smaller than the sum of its proper divisors (511137400911900).

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

213122131011300 is a wasteful number, since it uses less digits than its factorization.

213122131011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853591 (or 1853584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213122131011300 its reverse (3110131221312), we get a palindrome (216232262232612).

The spelling of 213122131011300 in words is "two hundred thirteen trillion, one hundred twenty-two billion, one hundred thirty-one million, eleven thousand, three hundred".