13101321022201 has 2 divisors, whose sum is σ = 13101321022202. Its totient is φ = 13101321022200.

The previous prime is 13101321022193. The next prime is 13101321022219. The reversal of 13101321022201 is 10222012310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10967515852176 + 2133805170025 = 3311724^2 + 1460755^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101321022201 - 2³ = 13101321022193 is a prime.

It is a super-3 number, since 3×13101321022201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (13101321022241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550660511100 + 6550660511101.

It is an arithmetic number, because the mean of its divisors is an integer number (6550660511101).

Almost surely, 2^{13101321022201} is an apocalyptic number.

It is an amenable number.

13101321022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101321022201 is an equidigital number, since it uses as much as digits as its factorization.

13101321022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13101321022201 its reverse (10222012310131), we get a palindrome (23323333332332).

The spelling of 13101321022201 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, twenty-two thousand, two hundred one".