13101321021017 has 2 divisors, whose sum is σ = 13101321021018. Its totient is φ = 13101321021016.

The previous prime is 13101321020959. The next prime is 13101321021037. The reversal of 13101321021017 is 71012012310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7561422038416 + 5539898982601 = 2749804^2 + 2353699^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101321021017 - 2¹² = 13101321016921 is a prime.

It is a super-2 number, since 2×13101321021017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101321020983 and 13101321021001.

It is not a weakly prime, because it can be changed into another prime (13101321021037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550660510508 + 6550660510509.

It is an arithmetic number, because the mean of its divisors is an integer number (6550660510509).

Almost surely, 2^{13101321021017} is an apocalyptic number.

It is an amenable number.

13101321021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101321021017 is an equidigital number, since it uses as much as digits as its factorization.

13101321021017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 13101321021017 its reverse (71012012310131), we get a palindrome (84113333331148).

The spelling of 13101321021017 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, twenty-one thousand, seventeen".