13213111001201 has 2 divisors, whose sum is σ = 13213111001202. Its totient is φ = 13213111001200.

The previous prime is 13213111001179. The next prime is 13213111001263. The reversal of 13213111001201 is 10210011131231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9800963161201 + 3412147840000 = 3130649^2 + 1847200^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213111001201 - 2²⁶ = 13213043892337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13213111001201.

It is not a weakly prime, because it can be changed into another prime (13213111001401) 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, 6606555500600 + 6606555500601.

It is an arithmetic number, because the mean of its divisors is an integer number (6606555500601).

Almost surely, 2^{13213111001201} is an apocalyptic number.

It is an amenable number.

13213111001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213111001201 is an equidigital number, since it uses as much as digits as its factorization.

13213111001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13213111001201 its reverse (10210011131231), we get a palindrome (23423122132432).

The spelling of 13213111001201 in words is "thirteen trillion, two hundred thirteen billion, one hundred eleven million, one thousand, two hundred one".