213122133121 has 8 divisors (see below), whose sum is σ = 218849098664. Its totient is φ = 207467205120.

The previous prime is 213122133109. The next prime is 213122133143. The reversal of 213122133121 is 121331221312.

It can be written as a sum of positive squares in 4 ways, for example, as 198951025 + 212923182096 = 14105^2 + 461436^2 .

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 213122133121 - 2²³ = 213113744513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213122133092 and 213122133101.

It is not an unprimeable number, because it can be changed into a prime (213122113121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18003390 + ... + 18015223.

It is an arithmetic number, because the mean of its divisors is an integer number (27356137333).

Almost surely, 2^213122133121 is an apocalyptic number.

It is an amenable number.

213122133121 is a deficient number, since it is larger than the sum of its proper divisors (5726965543).

213122133121 is an equidigital number, since it uses as much as digits as its factorization.

213122133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36018771.

The product of its digits is 432, while the sum is 22.

Adding to 213122133121 its reverse (121331221312), we get a palindrome (334453354433).

The spelling of 213122133121 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-one".