105035257266113 has 2 divisors, whose sum is σ = 105035257266114. Its totient is φ = 105035257266112.

The previous prime is 105035257266013. The next prime is 105035257266131. The reversal of 105035257266113 is 311662752530501.

Together with next prime (105035257266131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73732653379984 + 31302603886129 = 8586772^2 + 5594873^2 .

It is a cyclic number.

It is not a de Polignac number, because 105035257266113 - 2⁸ = 105035257265857 is a prime.

It is a super-2 number, since 2×105035257266113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105035257266013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52517628633056 + 52517628633057.

It is an arithmetic number, because the mean of its divisors is an integer number (52517628633057).

Almost surely, 2^{105035257266113} is an apocalyptic number.

It is an amenable number.

105035257266113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105035257266113 is an equidigital number, since it uses as much as digits as its factorization.

105035257266113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134000, while the sum is 47.

The spelling of 105035257266113 in words is "one hundred five trillion, thirty-five billion, two hundred fifty-seven million, two hundred sixty-six thousand, one hundred thirteen".