3134120214313 has 12 divisors (see below), whose sum is σ = 3462791520244. Its totient is φ = 2834437478400.

The previous prime is 3134120214307. The next prime is 3134120214347.

3134120214313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 871285964329 + 2262834249984 = 933427^2 + 1504272^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3134120214313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3134120214373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67079808 + ... + 67126513.

Almost surely, 2^{3134120214313} is an apocalyptic number.

It is an amenable number.

3134120214313 is a deficient number, since it is larger than the sum of its proper divisors (328671305931).

3134120214313 is a wasteful number, since it uses less digits than its factorization.

3134120214313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134206536 (or 134206525 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3134120 and 214313, that added together give a palindrome (3348433).

The spelling of 3134120214313 in words is "three trillion, one hundred thirty-four billion, one hundred twenty million, two hundred fourteen thousand, three hundred thirteen".