31085201071321 has 2 divisors, whose sum is σ = 31085201071322. Its totient is φ = 31085201071320.

The previous prime is 31085201071307. The next prime is 31085201071343. The reversal of 31085201071321 is 12317010258013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25361910395721 + 5723290675600 = 5036061^2 + 2392340^2 .

It is a cyclic number.

It is not a de Polignac number, because 31085201071321 - 2⁵ = 31085201071289 is a prime.

It is a super-2 number, since 2×31085201071321² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31085201071361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15542600535660 + 15542600535661.

It is an arithmetic number, because the mean of its divisors is an integer number (15542600535661).

Almost surely, 2^{31085201071321} is an apocalyptic number.

It is an amenable number.

31085201071321 is a deficient number, since it is larger than the sum of its proper divisors (1).

31085201071321 is an equidigital number, since it uses as much as digits as its factorization.

31085201071321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 31085201071321 in words is "thirty-one trillion, eighty-five billion, two hundred one million, seventy-one thousand, three hundred twenty-one".