10313322113321 has 2 divisors, whose sum is σ = 10313322113322. Its totient is φ = 10313322113320.

The previous prime is 10313322113239. The next prime is 10313322113329. The reversal of 10313322113321 is 12331122331301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10313321182096 + 931225 = 3211436^2 + 965^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313322113321 - 2³⁰ = 10312248371497 is a prime.

It is a super-2 number, since 2×10313322113321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10313322113329) 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, 5156661056660 + 5156661056661.

It is an arithmetic number, because the mean of its divisors is an integer number (5156661056661).

Almost surely, 2^{10313322113321} is an apocalyptic number.

It is an amenable number.

10313322113321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313322113321 is an equidigital number, since it uses as much as digits as its factorization.

10313322113321 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 10313322113321 its reverse (12331122331301), we get a palindrome (22644444444622).

The spelling of 10313322113321 in words is "ten trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred twenty-one".