31306660313 has 2 divisors, whose sum is σ = 31306660314. Its totient is φ = 31306660312.

The previous prime is 31306660309. The next prime is 31306660331.

31306660313 is nontrivially palindromic in base 10.

Together with next prime (31306660331) 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., 26768886544 + 4537773769 = 163612^2 + 67363^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31306660313 - 2² = 31306660309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31306660313.

It is not a weakly prime, because it can be changed into another prime (31306660213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15653330156 + 15653330157.

It is an arithmetic number, because the mean of its divisors is an integer number (15653330157).

Almost surely, 2^31306660313 is an apocalyptic number.

It is an amenable number.

31306660313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31306660313 is an equidigital number, since it uses as much as digits as its factorization.

31306660313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 31306660313 in words is "thirty-one billion, three hundred six million, six hundred sixty thousand, three hundred thirteen".