313131343131313 has 8 divisors (see below), whose sum is σ = 357864793073600. Its totient is φ = 268397993419920.

The previous prime is 313131343131287. The next prime is 313131343131337.

It is a happy number.

313131343131313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 313131343131313 - 2¹³ = 313131343123121 is a prime.

It is a super-2 number, since 2×313131343131313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313131343131713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18239538 + ... + 30966811.

It is an arithmetic number, because the mean of its divisors is an integer number (44733099134200).

Almost surely, 2^{313131343131313} is an apocalyptic number.

It is an amenable number.

313131343131313 is a deficient number, since it is larger than the sum of its proper divisors (44733449942287).

313131343131313 is an equidigital number, since it uses as much as digits as its factorization.

313131343131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50115447.

The product of its digits is 26244, while the sum is 34.

The spelling of 313131343131313 in words is "three hundred thirteen trillion, one hundred thirty-one billion, three hundred forty-three million, one hundred thirty-one thousand, three hundred thirteen".