313201102313 has 32 divisors (see below), whose sum is σ = 360306745344. Its totient is φ = 269467000000.

The previous prime is 313201102283. The next prime is 313201102339.

313201102313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313201102313 - 2¹⁴ = 313201085929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313201102343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47806388 + ... + 47812938.

It is an arithmetic number, because the mean of its divisors is an integer number (11259585792).

Almost surely, 2^313201102313 is an apocalyptic number.

It is an amenable number.

313201102313 is a deficient number, since it is larger than the sum of its proper divisors (47105643031).

313201102313 is a wasteful number, since it uses less digits than its factorization.

313201102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 313201 and 102313, that added together give a palindrome (415514).

The spelling of 313201102313 in words is "three hundred thirteen billion, two hundred one million, one hundred two thousand, three hundred thirteen".