31132445200093 has 2 divisors, whose sum is σ = 31132445200094. Its totient is φ = 31132445200092.

The previous prime is 31132445199991. The next prime is 31132445200133. The reversal of 31132445200093 is 39000254423113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31038247155204 + 94198044889 = 5571198^2 + 306917^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132445200093 - 2¹³ = 31132445191901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31132445200693) 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, 15566222600046 + 15566222600047.

It is an arithmetic number, because the mean of its divisors is an integer number (15566222600047).

Almost surely, 2^{31132445200093} is an apocalyptic number.

It is an amenable number.

31132445200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132445200093 is an equidigital number, since it uses as much as digits as its factorization.

31132445200093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 31132445200093 in words is "thirty-one trillion, one hundred thirty-two billion, four hundred forty-five million, two hundred thousand, ninety-three".