13133033142401 has 2 divisors, whose sum is σ = 13133033142402. Its totient is φ = 13133033142400.

The previous prime is 13133033142319. The next prime is 13133033142433. The reversal of 13133033142401 is 10424133033131.

13133033142401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11469059560000 + 1663973582401 = 3386600^2 + 1289951^2 .

It is an emirp because it is prime and its reverse (10424133033131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13133033142401 - 2¹⁸ = 13133032880257 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133033142001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566516571200 + 6566516571201.

It is an arithmetic number, because the mean of its divisors is an integer number (6566516571201).

Almost surely, 2^{13133033142401} is an apocalyptic number.

It is an amenable number.

13133033142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133033142401 is an equidigital number, since it uses as much as digits as its factorization.

13133033142401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 13133033142401 its reverse (10424133033131), we get a palindrome (23557166175532).

The spelling of 13133033142401 in words is "thirteen trillion, one hundred thirty-three billion, thirty-three million, one hundred forty-two thousand, four hundred one".