213032021101200 has 960 divisors, whose sum is σ = 878838508830720. Its totient is φ = 48003470069760.

The previous prime is 213032021101093. The next prime is 213032021101217. The reversal of 213032021101200 is 2101120230312.

213032021101200 is a `hidden beast` number, since 2 + 1 + 30 + 320 + 2 + 110 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13614871777 + ... + 13614887423.

It is an arithmetic number, because the mean of its divisors is an integer number (915456780032).

Almost surely, 2^{213032021101200} is an apocalyptic number.

213032021101200 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 213032021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439419254415360).

213032021101200 is an abundant number, since it is smaller than the sum of its proper divisors (665806487729520).

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

213032021101200 is a wasteful number, since it uses less digits than its factorization.

213032021101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18221 (or 18204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213032021101200 its reverse (2101120230312), we get a palindrome (215133141331512).

The spelling of 213032021101200 in words is "two hundred thirteen trillion, thirty-two billion, twenty-one million, one hundred one thousand, two hundred".