3131424241313 has 2 divisors, whose sum is σ = 3131424241314. Its totient is φ = 3131424241312.

The previous prime is 3131424241307. The next prime is 3131424241321.

3131424241313 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2818392943249 + 313031298064 = 1678807^2 + 559492^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3131424241313 - 2¹⁰ = 3131424240289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131424241313.

It is not a weakly prime, because it can be changed into another prime (3131424241343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565712120656 + 1565712120657.

It is an arithmetic number, because the mean of its divisors is an integer number (1565712120657).

Almost surely, 2^{3131424241313} is an apocalyptic number.

It is an amenable number.

3131424241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131424241313 is an equidigital number, since it uses as much as digits as its factorization.

3131424241313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 32.

The spelling of 3131424241313 in words is "three trillion, one hundred thirty-one billion, four hundred twenty-four million, two hundred forty-one thousand, three hundred thirteen".