100321311332213 has 2 divisors, whose sum is σ = 100321311332214. Its totient is φ = 100321311332212.

The previous prime is 100321311332201. The next prime is 100321311332219. The reversal of 100321311332213 is 312233113123001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100175637053284 + 145674278929 = 10008778^2 + 381673^2 .

It is a cyclic number.

It is not a de Polignac number, because 100321311332213 - 2⁶ = 100321311332149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100321311332219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50160655666106 + 50160655666107.

It is an arithmetic number, because the mean of its divisors is an integer number (50160655666107).

Almost surely, 2^{100321311332213} is an apocalyptic number.

It is an amenable number.

100321311332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100321311332213 is an equidigital number, since it uses as much as digits as its factorization.

100321311332213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 100321311332213 its reverse (312233113123001), we get a palindrome (412554424455214).

The spelling of 100321311332213 in words is "one hundred trillion, three hundred twenty-one billion, three hundred eleven million, three hundred thirty-two thousand, two hundred thirteen".