313414414313 has 96 divisors (see below), whose sum is σ = 447508696320. Its totient is φ = 215490240000.

The previous prime is 313414414309. The next prime is 313414414319.

313414414313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313414414313 - 2² = 313414414309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313414414313.

It is not an unprimeable number, because it can be changed into a prime (313414414319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20515868 + ... + 20531138.

It is an arithmetic number, because the mean of its divisors is an integer number (4661548920).

Almost surely, 2^313414414313 is an apocalyptic number.

It is an amenable number.

313414414313 is a deficient number, since it is larger than the sum of its proper divisors (134094282007).

313414414313 is a wasteful number, since it uses less digits than its factorization.

313414414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15432 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 313414 and 414313, that added together give a palindrome (727727).

The spelling of 313414414313 in words is "three hundred thirteen billion, four hundred fourteen million, four hundred fourteen thousand, three hundred thirteen".