105005134313 has 2 divisors, whose sum is σ = 105005134314. Its totient is φ = 105005134312.

The previous prime is 105005134309. The next prime is 105005134327. The reversal of 105005134313 is 313431500501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57730633984 + 47274500329 = 240272^2 + 217427^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005134313 - 2² = 105005134309 is a prime.

It is a super-2 number, since 2×105005134313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105005134343) by changing a digit.

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 as a sum of consecutive naturals, namely, 52502567156 + 52502567157.

It is an arithmetic number, because the mean of its divisors is an integer number (52502567157).

Almost surely, 2^105005134313 is an apocalyptic number.

It is an amenable number.

105005134313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005134313 is an equidigital number, since it uses as much as digits as its factorization.

105005134313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 105005134313 its reverse (313431500501), we get a palindrome (418436634814).

The spelling of 105005134313 in words is "one hundred five billion, five million, one hundred thirty-four thousand, three hundred thirteen".