3134344434313 has 8 divisors (see below), whose sum is σ = 3135742776200. Its totient is φ = 3132946349568.

The previous prime is 3134344434293. The next prime is 3134344434329.

3134344434313 is nontrivially palindromic in base 10.

3134344434313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32476725369 + 3101867708944 = 180213^2 + 1761212^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3134344434313 - 2⁵ = 3134344434281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3134344434383) 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, 26769145 + ... + 26885977.

It is an arithmetic number, because the mean of its divisors is an integer number (391967847025).

Almost surely, 2^{3134344434313} is an apocalyptic number.

It is an amenable number.

3134344434313 is a deficient number, since it is larger than the sum of its proper divisors (1398341887).

3134344434313 is a wasteful number, since it uses less digits than its factorization.

3134344434313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128571.

The product of its digits is 746496, while the sum is 40.

The spelling of 3134344434313 in words is "three trillion, one hundred thirty-four billion, three hundred forty-four million, four hundred thirty-four thousand, three hundred thirteen".