213200221131300 has 288 divisors, whose sum is σ = 669350140099200. Its totient is φ = 52083298713600.

The previous prime is 213200221131299. The next prime is 213200221131341. The reversal of 213200221131300 is 3131122002312.

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, 290116726 + ... + 290850674.

It is an arithmetic number, because the mean of its divisors is an integer number (2324132430900).

Almost surely, 2^{213200221131300} is an apocalyptic number.

213200221131300 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 213200221131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334675070049600).

213200221131300 is an abundant number, since it is smaller than the sum of its proper divisors (456149918967900).

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

213200221131300 is a wasteful number, since it uses less digits than its factorization.

213200221131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734543 (or 734536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213200221131300 its reverse (3131122002312), we get a palindrome (216331343133612).

The spelling of 213200221131300 in words is "two hundred thirteen trillion, two hundred billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred".