101322132100213 has 2 divisors, whose sum is σ = 101322132100214. Its totient is φ = 101322132100212.

The previous prime is 101322132100201. The next prime is 101322132100253. The reversal of 101322132100213 is 312001231223101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74314175401489 + 27007956698724 = 8620567^2 + 5196918^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322132100213 - 2⁵ = 101322132100181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101322132100253) 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, 50661066050106 + 50661066050107.

It is an arithmetic number, because the mean of its divisors is an integer number (50661066050107).

Almost surely, 2^{101322132100213} is an apocalyptic number.

It is an amenable number.

101322132100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322132100213 is an equidigital number, since it uses as much as digits as its factorization.

101322132100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101322132100213 its reverse (312001231223101), we get a palindrome (413323363323314).

The spelling of 101322132100213 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred thousand, two hundred thirteen".