213311312101 has 2 divisors, whose sum is σ = 213311312102. Its totient is φ = 213311312100.

The previous prime is 213311312069. The next prime is 213311312107. The reversal of 213311312101 is 101213113312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126931163076 + 86380149025 = 356274^2 + 293905^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311312101 - 2⁵ = 213311312069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213311312107) 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 as a sum of consecutive naturals, namely, 106655656050 + 106655656051.

It is an arithmetic number, because the mean of its divisors is an integer number (106655656051).

Almost surely, 2^213311312101 is an apocalyptic number.

It is an amenable number.

213311312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311312101 is an equidigital number, since it uses as much as digits as its factorization.

213311312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 213311312101 its reverse (101213113312), we get a palindrome (314524425413).

The spelling of 213311312101 in words is "two hundred thirteen billion, three hundred eleven million, three hundred twelve thousand, one hundred one".