313246101642313 has 12 divisors (see below), whose sum is σ = 365175338160000. Its totient is φ = 267916752141192.

The previous prime is 313246101642283. The next prime is 313246101642389.

313246101642313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313246101642313 - 2⁴¹ = 311047078386761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313246101642613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6903624813 + ... + 6903670186.

It is an arithmetic number, because the mean of its divisors is an integer number (30431278180000).

Almost surely, 2^{313246101642313} is an apocalyptic number.

It is an amenable number.

313246101642313 is a deficient number, since it is larger than the sum of its proper divisors (51929236517687).

313246101642313 is a wasteful number, since it uses less digits than its factorization.

313246101642313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807295476 (or 13807295469 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

It can be divided in two parts, 31324610 and 1642313, that added together give a palindrome (32966923).

The spelling of 313246101642313 in words is "three hundred thirteen trillion, two hundred forty-six billion, one hundred one million, six hundred forty-two thousand, three hundred thirteen".