13133210211001 has 2 divisors, whose sum is σ = 13133210211002. Its totient is φ = 13133210211000.

The previous prime is 13133210210999. The next prime is 13133210211061. The reversal of 13133210211001 is 10011201233131.

13133210211001 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., 12850504257600 + 282705953401 = 3584760^2 + 531701^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133210211001 - 2¹ = 13133210210999 is a prime.

Together with 13133210210999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13133210211001.

It is not a weakly prime, because it can be changed into another prime (13133210211061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566605105500 + 6566605105501.

It is an arithmetic number, because the mean of its divisors is an integer number (6566605105501).

Almost surely, 2^{13133210211001} is an apocalyptic number.

It is an amenable number.

13133210211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133210211001 is an equidigital number, since it uses as much as digits as its factorization.

13133210211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13133210211001 its reverse (10011201233131), we get a palindrome (23144411444132).

The spelling of 13133210211001 in words is "thirteen trillion, one hundred thirty-three billion, two hundred ten million, two hundred eleven thousand, one".