13101321022117 has 2 divisors, whose sum is σ = 13101321022118. Its totient is φ = 13101321022116.

The previous prime is 13101321022103. The next prime is 13101321022133. The reversal of 13101321022117 is 71122012310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12756083692356 + 345237329761 = 3571566^2 + 587569^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101321022117 - 2¹⁵ = 13101320989349 is a prime.

It is a super-2 number, since 2×13101321022117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101321022091 and 13101321022100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101321022817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550660511058 + 6550660511059.

It is an arithmetic number, because the mean of its divisors is an integer number (6550660511059).

Almost surely, 2^{13101321022117} is an apocalyptic number.

It is an amenable number.

13101321022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101321022117 is an equidigital number, since it uses as much as digits as its factorization.

13101321022117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 13101321022117 its reverse (71122012310131), we get a palindrome (84223333332248).

The spelling of 13101321022117 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, twenty-two thousand, one hundred seventeen".