13105313 has 4 divisors (see below), whose sum is σ = 14113428. Its totient is φ = 12097200.

The previous prime is 13105277. The next prime is 13105319. The reversal of 13105313 is 31350131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1216609 + 11888704 = 1103^2 + 3448^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105313 - 2¹⁶ = 13039777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13105291 and 13105300.

It is not an unprimeable number, because it can be changed into a prime (13105319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504038 + ... + 504063.

It is an arithmetic number, because the mean of its divisors is an integer number (3528357).

Almost surely, 2^13105313 is an apocalyptic number.

13105313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13105313 is a deficient number, since it is larger than the sum of its proper divisors (1008115).

13105313 is a wasteful number, since it uses less digits than its factorization.

13105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008114.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 13105313 is about 3620.1261027760. The cubic root of 13105313 is about 235.7667006443.

Adding to 13105313 its reverse (31350131), we get a palindrome (44455444).

The spelling of 13105313 in words is "thirteen million, one hundred five thousand, three hundred thirteen".