313443606344313 has 64 divisors (see below), whose sum is σ = 436920655288320. Its totient is φ = 199648737792000.

The previous prime is 313443606344303. The next prime is 313443606344381.

It is a happy number.

313443606344313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313443606344313 - 2¹⁰ = 313443606343289 is a prime.

It is a super-4 number, since 4×313443606344313⁴ (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (313443606344303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7861817743 + ... + 7861857611.

It is an arithmetic number, because the mean of its divisors is an integer number (6826885238880).

Almost surely, 2^{313443606344313} is an apocalyptic number.

It is an amenable number.

313443606344313 is a deficient number, since it is larger than the sum of its proper divisors (123477048944007).

313443606344313 is a wasteful number, since it uses less digits than its factorization.

313443606344313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42370.

The product of its (nonzero) digits is 6718464, while the sum is 48.

It can be divided in two parts, 31344360 and 6344313, that added together give a palindrome (37688673).

The spelling of 313443606344313 in words is "three hundred thirteen trillion, four hundred forty-three billion, six hundred six million, three hundred forty-four thousand, three hundred thirteen".