213133233112200 has 384 divisors, whose sum is σ = 777399163804800. Its totient is φ = 53486087823360.

The previous prime is 213133233112109. The next prime is 213133233112211. The reversal of 213133233112200 is 2211332331312.

213133233112200 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 323 + 311 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 822673884 + ... + 822932916.

It is an arithmetic number, because the mean of its divisors is an integer number (2024476989075).

Almost surely, 2^{213133233112200} is an apocalyptic number.

213133233112200 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 213133233112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388699581902400).

213133233112200 is an abundant number, since it is smaller than the sum of its proper divisors (564265930692600).

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

213133233112200 is a wasteful number, since it uses less digits than its factorization.

213133233112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268038 (or 268023 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213133233112200 its reverse (2211332331312), we get a palindrome (215344565443512).

The spelling of 213133233112200 in words is "two hundred thirteen trillion, one hundred thirty-three billion, two hundred thirty-three million, one hundred twelve thousand, two hundred".