313531135313 has 8 divisors (see below), whose sum is σ = 342068630016. Its totient is φ = 284999418000.

The previous prime is 313531135283. The next prime is 313531135327.

313531135313 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 313531135313 - 2⁶ = 313531135249 is a prime.

It is a super-4 number, since 4×313531135313⁴ (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313531135313.

It is not an unprimeable number, because it can be changed into a prime (313531135373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1330481 + ... + 1548302.

It is an arithmetic number, because the mean of its divisors is an integer number (42758578752).

Almost surely, 2^313531135313 is an apocalyptic number.

It is an amenable number.

313531135313 is a deficient number, since it is larger than the sum of its proper divisors (28537494703).

313531135313 is a wasteful number, since it uses less digits than its factorization.

313531135313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888695.

The product of its digits is 18225, while the sum is 32.

It can be divided in two parts, 313531 and 135313, that added together give a palindrome (448844).

The spelling of 313531135313 in words is "three hundred thirteen billion, five hundred thirty-one million, one hundred thirty-five thousand, three hundred thirteen".