213313201121 has 8 divisors (see below), whose sum is σ = 214158522600. Its totient is φ = 212469459840.

The previous prime is 213313201111. The next prime is 213313201139. The reversal of 213313201121 is 121102313312.

It is a happy number.

213313201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 142536451600 + 70776749521 = 377540^2 + 266039^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213313201121 - 2¹⁸ = 213312938977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213313201093 and 213313201102.

It is not an unprimeable number, because it can be changed into a prime (213313201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124166 + ... + 664863.

It is an arithmetic number, because the mean of its divisors is an integer number (26769815325).

Almost surely, 2^213313201121 is an apocalyptic number.

It is an amenable number.

213313201121 is a deficient number, since it is larger than the sum of its proper divisors (845321479).

213313201121 is an equidigital number, since it uses as much as digits as its factorization.

213313201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790099.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213313201121 its reverse (121102313312), we get a palindrome (334415514433).

The spelling of 213313201121 in words is "two hundred thirteen billion, three hundred thirteen million, two hundred one thousand, one hundred twenty-one".