213121312200 has 144 divisors (see below), whose sum is σ = 716456325780. Its totient is φ = 56774868480.

The previous prime is 213121312177. The next prime is 213121312213. The reversal of 213121312200 is 2213121312.

213121312200 is a `hidden beast` number, since 2 + 1 + 312 + 131 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 65199536964 + 147921775236 = 255342^2 + 384606^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1735222 + ... + 1853978.

Almost surely, 2^213121312200 is an apocalyptic number.

213121312200 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 213121312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358228162890).

213121312200 is an abundant number, since it is smaller than the sum of its proper divisors (503335013580).

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

213121312200 is a wasteful number, since it uses less digits than its factorization.

213121312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119776 (or 119764 counting only the distinct ones).

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

Adding to 213121312200 its reverse (2213121312), we get a palindrome (215334433512).

The spelling of 213121312200 in words is "two hundred thirteen billion, one hundred twenty-one million, three hundred twelve thousand, two hundred".