31431113200117 has 2 divisors, whose sum is σ = 31431113200118. Its totient is φ = 31431113200116.

The previous prime is 31431113200099. The next prime is 31431113200129. The reversal of 31431113200117 is 71100231113413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30743132533201 + 687980666916 = 5544649^2 + 829446^2 .

It is a cyclic number.

It is not a de Polignac number, because 31431113200117 - 2³¹ = 31428965716469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31431113200217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15715556600058 + 15715556600059.

It is an arithmetic number, because the mean of its divisors is an integer number (15715556600059).

Almost surely, 2^{31431113200117} is an apocalyptic number.

It is an amenable number.

31431113200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31431113200117 is an equidigital number, since it uses as much as digits as its factorization.

31431113200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 31431113200117 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred thirteen million, two hundred thousand, one hundred seventeen".