31305306313 has 2 divisors, whose sum is σ = 31305306314. Its totient is φ = 31305306312.

The previous prime is 31305306301. The next prime is 31305306341. The reversal of 31305306313 is 31360350313.

It is an a-pointer prime, because the next prime (31305306341) can be obtained adding 31305306313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20598851529 + 10706454784 = 143523^2 + 103472^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31305306313 is a prime.

It is not a weakly prime, because it can be changed into another prime (31305376313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15652653156 + 15652653157.

It is an arithmetic number, because the mean of its divisors is an integer number (15652653157).

Almost surely, 2^31305306313 is an apocalyptic number.

It is an amenable number.

31305306313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31305306313 is an equidigital number, since it uses as much as digits as its factorization.

31305306313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 31305306313 its reverse (31360350313), we get a palindrome (62665656626).

The spelling of 31305306313 in words is "thirty-one billion, three hundred five million, three hundred six thousand, three hundred thirteen".