213311112121 has 2 divisors, whose sum is σ = 213311112122. Its totient is φ = 213311112120.

The previous prime is 213311112107. The next prime is 213311112137. The reversal of 213311112121 is 121211113312.

213311112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149397710400 + 63913401721 = 386520^2 + 252811^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311112121 - 2¹⁵ = 213311079353 is a prime.

It is a super-3 number, since 3×213311112121³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (213311113121) 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 as a sum of consecutive naturals, namely, 106655556060 + 106655556061.

It is an arithmetic number, because the mean of its divisors is an integer number (106655556061).

Almost surely, 2^213311112121 is an apocalyptic number.

It is an amenable number.

213311112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311112121 is an equidigital number, since it uses as much as digits as its factorization.

213311112121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 19.

Adding to 213311112121 its reverse (121211113312), we get a palindrome (334522225433).

The spelling of 213311112121 in words is "two hundred thirteen billion, three hundred eleven million, one hundred twelve thousand, one hundred twenty-one".