105041408461313 has 2 divisors, whose sum is σ = 105041408461314. Its totient is φ = 105041408461312.

The previous prime is 105041408461291. The next prime is 105041408461349. The reversal of 105041408461313 is 313164804140501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96078282614209 + 8963125847104 = 9801953^2 + 2993848^2 .

It is a cyclic number.

It is not a de Polignac number, because 105041408461313 - 2³⁶ = 104972688984577 is a prime.

It is a super-2 number, since 2×105041408461313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105041408461013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52520704230656 + 52520704230657.

It is an arithmetic number, because the mean of its divisors is an integer number (52520704230657).

Almost surely, 2^{105041408461313} is an apocalyptic number.

It is an amenable number.

105041408461313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105041408461313 is an equidigital number, since it uses as much as digits as its factorization.

105041408461313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 105041408461313 in words is "one hundred five trillion, forty-one billion, four hundred eight million, four hundred sixty-one thousand, three hundred thirteen".