31312101330313 has 2 divisors, whose sum is σ = 31312101330314. Its totient is φ = 31312101330312.

The previous prime is 31312101330311. The next prime is 31312101330359. The reversal of 31312101330313 is 31303310121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18373670748304 + 12938430582009 = 4286452^2 + 3597003^2 .

It is an emirp because it is prime and its reverse (31303310121313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31312101330313 - 2¹ = 31312101330311 is a prime.

Together with 31312101330311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31312101330311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656050665156 + 15656050665157.

It is an arithmetic number, because the mean of its divisors is an integer number (15656050665157).

Almost surely, 2^{31312101330313} is an apocalyptic number.

It is an amenable number.

31312101330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312101330313 is an equidigital number, since it uses as much as digits as its factorization.

31312101330313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 31312101330313 its reverse (31303310121313), we get a palindrome (62615411451626).

The spelling of 31312101330313 in words is "thirty-one trillion, three hundred twelve billion, one hundred one million, three hundred thirty thousand, three hundred thirteen".