313563365313 has 16 divisors (see below), whose sum is σ = 468418984896. Its totient is φ = 184902229440.

The previous prime is 313563365309. The next prime is 313563365321.

313563365313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313563365313 - 2² = 313563365309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313563365303) 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, 128403106 + ... + 128405547.

It is an arithmetic number, because the mean of its divisors is an integer number (29276186556).

Almost surely, 2^313563365313 is an apocalyptic number.

313563365313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313563365313 is a deficient number, since it is larger than the sum of its proper divisors (154855619583).

313563365313 is a wasteful number, since it uses less digits than its factorization.

313563365313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256808704.

The product of its digits is 656100, while the sum is 42.

It can be divided in two parts, 313563 and 365313, that added together give a palindrome (678876).

The spelling of 313563365313 in words is "three hundred thirteen billion, five hundred sixty-three million, three hundred sixty-five thousand, three hundred thirteen".