31321132042133 has 2 divisors, whose sum is σ = 31321132042134. Its totient is φ = 31321132042132.

The previous prime is 31321132042127. The next prime is 31321132042171. The reversal of 31321132042133 is 33124023112313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30854447683684 + 466684358449 = 5554678^2 + 683143^2 .

It is a cyclic number.

It is not a de Polignac number, because 31321132042133 - 2²² = 31321127847829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31321132042096 and 31321132042105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31321132042183) 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, 15660566021066 + 15660566021067.

It is an arithmetic number, because the mean of its divisors is an integer number (15660566021067).

Almost surely, 2^{31321132042133} is an apocalyptic number.

It is an amenable number.

31321132042133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321132042133 is an equidigital number, since it uses as much as digits as its factorization.

31321132042133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 31321132042133 its reverse (33124023112313), we get a palindrome (64445155154446).

The spelling of 31321132042133 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred thirty-two million, forty-two thousand, one hundred thirty-three".