200213131122 has 96 divisors (see below), whose sum is σ = 447876702000. Its totient is φ = 64591478784.

The previous prime is 200213131103. The next prime is 200213131169. The reversal of 200213131122 is 221131312002.

200213131122 is a `hidden beast` number, since 200 + 2 + 131 + 311 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 143140398921 + 57072732201 = 378339^2 + 238899^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200213131095 and 200213131104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122304088 + ... + 122305724.

Almost surely, 2^200213131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200213131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223938351000).

200213131122 is an abundant number, since it is smaller than the sum of its proper divisors (247663570878).

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

200213131122 is a wasteful number, since it uses less digits than its factorization.

200213131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2537 counting only the distinct ones).

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

Adding to 200213131122 its reverse (221131312002), we get a palindrome (421344443124).

The spelling of 200213131122 in words is "two hundred billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-two".