13300133002001 has 2 divisors, whose sum is σ = 13300133002002. Its totient is φ = 13300133002000.

The previous prime is 13300133001979. The next prime is 13300133002007. The reversal of 13300133002001 is 10020033100331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13158756250000 + 141376752001 = 3627500^2 + 376001^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300133002001 - 2⁶ = 13300133001937 is a prime.

It is a super-2 number, since 2×13300133002001² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13300133002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650066501000 + 6650066501001.

It is an arithmetic number, because the mean of its divisors is an integer number (6650066501001).

Almost surely, 2^{13300133002001} is an apocalyptic number.

It is an amenable number.

13300133002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300133002001 is an equidigital number, since it uses as much as digits as its factorization.

13300133002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13300133002001 its reverse (10020033100331), we get a palindrome (23320166102332).

The spelling of 13300133002001 in words is "thirteen trillion, three hundred billion, one hundred thirty-three million, two thousand, one".