313141141313 has 192 divisors, whose sum is σ = 463209352704. Its totient is φ = 207567360000.

The previous prime is 313141141307. The next prime is 313141141331.

313141141313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313141141313 - 2¹⁰ = 313141140289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313141141303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 521033213 + ... + 521033813.

It is an arithmetic number, because the mean of its divisors is an integer number (2412548712).

Almost surely, 2^313141141313 is an apocalyptic number.

It is an amenable number.

313141141313 is a deficient number, since it is larger than the sum of its proper divisors (150068211391).

313141141313 is a wasteful number, since it uses less digits than its factorization.

313141141313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 769 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 313141 and 141313, that added together give a palindrome (454454).

The spelling of 313141141313 in words is "three hundred thirteen billion, one hundred forty-one million, one hundred forty-one thousand, three hundred thirteen".