10213101001321 has 2 divisors, whose sum is σ = 10213101001322. Its totient is φ = 10213101001320.

The previous prime is 10213101001289. The next prime is 10213101001333. The reversal of 10213101001321 is 12310010131201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10175876701225 + 37224300096 = 3189965^2 + 192936^2 .

It is an emirp because it is prime and its reverse (12310010131201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10213101001321 - 2⁵ = 10213101001289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213101001295 and 10213101001304.

It is not a weakly prime, because it can be changed into another prime (10213101001351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106550500660 + 5106550500661.

It is an arithmetic number, because the mean of its divisors is an integer number (5106550500661).

Almost surely, 2^{10213101001321} is an apocalyptic number.

It is an amenable number.

10213101001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213101001321 is an equidigital number, since it uses as much as digits as its factorization.

10213101001321 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 16.

Adding to 10213101001321 its reverse (12310010131201), we get a palindrome (22523111132522).

The spelling of 10213101001321 in words is "ten trillion, two hundred thirteen billion, one hundred one million, one thousand, three hundred twenty-one".