13141235053213 has 2 divisors, whose sum is σ = 13141235053214. Its totient is φ = 13141235053212.

The previous prime is 13141235053157. The next prime is 13141235053217. The reversal of 13141235053213 is 31235053214131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9388696553604 + 3752538499609 = 3064098^2 + 1937147^2 .

It is a cyclic number.

It is not a de Polignac number, because 13141235053213 - 2²⁵ = 13141201498781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13141235053217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570617526606 + 6570617526607.

It is an arithmetic number, because the mean of its divisors is an integer number (6570617526607).

Almost surely, 2^{13141235053213} is an apocalyptic number.

It is an amenable number.

13141235053213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13141235053213 is an equidigital number, since it uses as much as digits as its factorization.

13141235053213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 13141235053213 its reverse (31235053214131), we get a palindrome (44376288267344).

The spelling of 13141235053213 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirty-five million, fifty-three thousand, two hundred thirteen".