31314241313 has 2 divisors, whose sum is σ = 31314241314. Its totient is φ = 31314241312.

The previous prime is 31314241307. The next prime is 31314241331.

31314241313 is nontrivially palindromic in base 10.

Together with next prime (31314241331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27468753169 + 3845488144 = 165737^2 + 62012^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31314241313 is a prime.

It is not a weakly prime, because it can be changed into another prime (31314241913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15657120656 + 15657120657.

It is an arithmetic number, because the mean of its divisors is an integer number (15657120657).

Almost surely, 2^31314241313 is an apocalyptic number.

It is an amenable number.

31314241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31314241313 is an equidigital number, since it uses as much as digits as its factorization.

31314241313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

The spelling of 31314241313 in words is "thirty-one billion, three hundred fourteen million, two hundred forty-one thousand, three hundred thirteen".