31310320001329 has 2 divisors, whose sum is σ = 31310320001330. Its totient is φ = 31310320001328.

The previous prime is 31310320001227. The next prime is 31310320001339. The reversal of 31310320001329 is 92310002301313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25697021823729 + 5613298177600 = 5069223^2 + 2369240^2 .

It is an emirp because it is prime and its reverse (92310002301313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31310320001329 - 2²³ = 31310311612721 is a prime.

It is a super-2 number, since 2×31310320001329² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31310320001297 and 31310320001306.

It is not a weakly prime, because it can be changed into another prime (31310320001339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655160000664 + 15655160000665.

It is an arithmetic number, because the mean of its divisors is an integer number (15655160000665).

Almost surely, 2^{31310320001329} is an apocalyptic number.

It is an amenable number.

31310320001329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31310320001329 is an equidigital number, since it uses as much as digits as its factorization.

31310320001329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 31310320001329 in words is "thirty-one trillion, three hundred ten billion, three hundred twenty million, one thousand, three hundred twenty-nine".