213113023200 has 432 divisors, whose sum is σ = 936924782976. Its totient is φ = 44283110400.

The previous prime is 213113023183. The next prime is 213113023219. The reversal of 213113023200 is 2320311312.

213113023200 is a `hidden beast` number, since 2 + 1 + 311 + 30 + 2 + 320 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362199 + ... + 746601.

It is an arithmetic number, because the mean of its divisors is an integer number (2168807368).

Almost surely, 2^213113023200 is an apocalyptic number.

213113023200 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 213113023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468462391488).

213113023200 is an abundant number, since it is smaller than the sum of its proper divisors (723811759776).

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

213113023200 is a wasteful number, since it uses less digits than its factorization.

213113023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384447 (or 384431 counting only the distinct ones).

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

Adding to 213113023200 its reverse (2320311312), we get a palindrome (215433334512).

The spelling of 213113023200 in words is "two hundred thirteen billion, one hundred thirteen million, twenty-three thousand, two hundred".