13010121001 has 2 divisors, whose sum is σ = 13010121002. Its totient is φ = 13010121000.

The previous prime is 13010120999. The next prime is 13010121073. The reversal of 13010121001 is 10012101031.

13010121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12701064601 + 309056400 = 112699^2 + 17580^2 .

It is a cyclic number.

It is not a de Polignac number, because 13010121001 - 2¹ = 13010120999 is a prime.

It is a super-2 number, since 2×13010121001² (a number of 21 digits) contains 22 as substring.

Together with 13010120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13010121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505060500 + 6505060501.

It is an arithmetic number, because the mean of its divisors is an integer number (6505060501).

Almost surely, 2^13010121001 is an apocalyptic number.

It is an amenable number.

13010121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010121001 is an equidigital number, since it uses as much as digits as its factorization.

13010121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13010121001 its reverse (10012101031), we get a palindrome (23022222032).

The spelling of 13010121001 in words is "thirteen billion, ten million, one hundred twenty-one thousand, one".