213311211331 has 2 divisors, whose sum is σ = 213311211332. Its totient is φ = 213311211330.

The previous prime is 213311211221. The next prime is 213311211343. The reversal of 213311211331 is 133112113312.

213311211331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213311211331 is a prime.

It is a super-2 number, since 2×213311211331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213311211931) 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, 106655605665 + 106655605666.

It is an arithmetic number, because the mean of its divisors is an integer number (106655605666).

Almost surely, 2^213311211331 is an apocalyptic number.

213311211331 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311211331 is an equidigital number, since it uses as much as digits as its factorization.

213311211331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

Adding to 213311211331 its reverse (133112113312), we get a palindrome (346423324643).

It can be divided in two parts, 2 and 13311211331, that multiplied together give a palindrome (26622422662).

The spelling of 213311211331 in words is "two hundred thirteen billion, three hundred eleven million, two hundred eleven thousand, three hundred thirty-one".