13121110002001 has 2 divisors, whose sum is σ = 13121110002002. Its totient is φ = 13121110002000.

The previous prime is 13121110001969. The next prime is 13121110002017. The reversal of 13121110002001 is 10020001112131.

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., 11679825715776 + 1441284286225 = 3417576^2 + 1200535^2 .

It is an emirp because it is prime and its reverse (10020001112131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13121110002001 - 2⁵ = 13121110001969 is a prime.

It is a super-2 number, since 2×13121110002001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13121110012001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560555001000 + 6560555001001.

It is an arithmetic number, because the mean of its divisors is an integer number (6560555001001).

Almost surely, 2^{13121110002001} is an apocalyptic number.

It is an amenable number.

13121110002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121110002001 is an equidigital number, since it uses as much as digits as its factorization.

13121110002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 13121110002001 its reverse (10020001112131), we get a palindrome (23141111114132).

The spelling of 13121110002001 in words is "thirteen trillion, one hundred twenty-one billion, one hundred ten million, two thousand, one".