313501105313 has 16 divisors (see below), whose sum is σ = 362174742720. Its totient is φ = 268194892800.

The previous prime is 313501105283. The next prime is 313501105321.

313501105313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313501105313 - 2¹⁰ = 313501104289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313501104313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119353 + ... + 1371113.

It is an arithmetic number, because the mean of its divisors is an integer number (22635921420).

Almost surely, 2^313501105313 is an apocalyptic number.

It is an amenable number.

313501105313 is a deficient number, since it is larger than the sum of its proper divisors (48673637407).

313501105313 is a wasteful number, since it uses less digits than its factorization.

313501105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258448.

The product of its (nonzero) digits is 2025, while the sum is 26.

It can be divided in two parts, 313501 and 105313, that added together give a palindrome (418814).

The spelling of 313501105313 in words is "three hundred thirteen billion, five hundred one million, one hundred five thousand, three hundred thirteen".