31032313123313 has 2 divisors, whose sum is σ = 31032313123314. Its totient is φ = 31032313123312.

The previous prime is 31032313123261. The next prime is 31032313123319. The reversal of 31032313123313 is 31332131323013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17519682665104 + 13512630458209 = 4185652^2 + 3675953^2 .

It is a cyclic number.

It is not a de Polignac number, because 31032313123313 - 2⁸ = 31032313123057 is a prime.

It is a super-2 number, since 2×31032313123313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31032313123319) 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 as a sum of consecutive naturals, namely, 15516156561656 + 15516156561657.

It is an arithmetic number, because the mean of its divisors is an integer number (15516156561657).

Almost surely, 2^{31032313123313} is an apocalyptic number.

It is an amenable number.

31032313123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31032313123313 is an equidigital number, since it uses as much as digits as its factorization.

31032313123313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 31032313123313 its reverse (31332131323013), we get a palindrome (62364444446326).

The spelling of 31032313123313 in words is "thirty-one trillion, thirty-two billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".