1313305405105 has 32 divisors (see below), whose sum is σ = 1610836185600. Its totient is φ = 1027604793600.

The previous prime is 1313305405043. The next prime is 1313305405133. The reversal of 1313305405105 is 5015045033131.

It is not a de Polignac number, because 1313305405105 - 2¹⁷ = 1313305274033 is a prime.

It is a super-2 number, since 2×1313305405105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51669850 + ... + 51695260.

It is an arithmetic number, because the mean of its divisors is an integer number (50338630800).

Almost surely, 2^{1313305405105} is an apocalyptic number.

It is an amenable number.

1313305405105 is a deficient number, since it is larger than the sum of its proper divisors (297530780495).

1313305405105 is a wasteful number, since it uses less digits than its factorization.

1313305405105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 1313305405105 in words is "one trillion, three hundred thirteen billion, three hundred five million, four hundred five thousand, one hundred five".