213320100101 has 2 divisors, whose sum is σ = 213320100102. Its totient is φ = 213320100100.

The previous prime is 213320100089. The next prime is 213320100121. The reversal of 213320100101 is 101001023312.

213320100101 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., 213176124100 + 143976001 = 461710^2 + 11999^2 .

It is a cyclic number.

It is not a de Polignac number, because 213320100101 - 2¹⁰ = 213320099077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213320100121) 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, 106660050050 + 106660050051.

It is an arithmetic number, because the mean of its divisors is an integer number (106660050051).

Almost surely, 2^213320100101 is an apocalyptic number.

It is an amenable number.

213320100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213320100101 is an equidigital number, since it uses as much as digits as its factorization.

213320100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213320100101 its reverse (101001023312), we get a palindrome (314321123413).

The spelling of 213320100101 in words is "two hundred thirteen billion, three hundred twenty million, one hundred thousand, one hundred one".