13053135123401 has 2 divisors, whose sum is σ = 13053135123402. Its totient is φ = 13053135123400.

The previous prime is 13053135123397. The next prime is 13053135123521. The reversal of 13053135123401 is 10432153135031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12272942732176 + 780192391225 = 3503276^2 + 883285^2 .

It is a cyclic number.

It is not a de Polignac number, because 13053135123401 - 2² = 13053135123397 is a prime.

It is not a weakly prime, because it can be changed into another prime (13053135143401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6526567561700 + 6526567561701.

It is an arithmetic number, because the mean of its divisors is an integer number (6526567561701).

Almost surely, 2^{13053135123401} is an apocalyptic number.

It is an amenable number.

13053135123401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13053135123401 is an equidigital number, since it uses as much as digits as its factorization.

13053135123401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 13053135123401 its reverse (10432153135031), we get a palindrome (23485288258432).

The spelling of 13053135123401 in words is "thirteen trillion, fifty-three billion, one hundred thirty-five million, one hundred twenty-three thousand, four hundred one".