3131306031313 has 4 divisors (see below), whose sum is σ = 3162309061428. Its totient is φ = 3100303001200.

The previous prime is 3131306031277. The next prime is 3131306031319.

It is a happy number.

3131306031313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2276211898944 + 855094132369 = 1508712^2 + 924713^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131306031313 - 2²⁵ = 3131272476881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131306031319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15501514906 + ... + 15501515107.

It is an arithmetic number, because the mean of its divisors is an integer number (790577265357).

Almost surely, 2^{3131306031313} is an apocalyptic number.

It is an amenable number.

3131306031313 is a deficient number, since it is larger than the sum of its proper divisors (31003030115).

3131306031313 is a wasteful number, since it uses less digits than its factorization.

3131306031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31003030114.

The product of its (nonzero) digits is 4374, while the sum is 28.

The spelling of 3131306031313 in words is "three trillion, one hundred thirty-one billion, three hundred six million, thirty-one thousand, three hundred thirteen".