13135105152331 has 2 divisors, whose sum is σ = 13135105152332. Its totient is φ = 13135105152330.

The previous prime is 13135105152313. The next prime is 13135105152343. The reversal of 13135105152331 is 13325150153131.

13135105152331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (13135105152313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13135105152331 - 2⁷ = 13135105152203 is a prime.

It is a super-2 number, since 2×13135105152331² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13135105152031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567552576165 + 6567552576166.

It is an arithmetic number, because the mean of its divisors is an integer number (6567552576166).

Almost surely, 2^{13135105152331} is an apocalyptic number.

13135105152331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135105152331 is an equidigital number, since it uses as much as digits as its factorization.

13135105152331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20250, while the sum is 34.

The spelling of 13135105152331 in words is "thirteen trillion, one hundred thirty-five billion, one hundred five million, one hundred fifty-two thousand, three hundred thirty-one".