21031431000193 has 2 divisors, whose sum is σ = 21031431000194. Its totient is φ = 21031431000192.

The previous prime is 21031431000157. The next prime is 21031431000199. The reversal of 21031431000193 is 39100013413012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12071059281649 + 8960371718544 = 3474343^2 + 2993388^2 .

It is a cyclic number.

It is not a de Polignac number, because 21031431000193 - 2⁹ = 21031430999681 is a prime.

It is not a weakly prime, because it can be changed into another prime (21031431000199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10515715500096 + 10515715500097.

It is an arithmetic number, because the mean of its divisors is an integer number (10515715500097).

Almost surely, 2^{21031431000193} is an apocalyptic number.

It is an amenable number.

21031431000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21031431000193 is an equidigital number, since it uses as much as digits as its factorization.

21031431000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 21031431000193 in words is "twenty-one trillion, thirty-one billion, four hundred thirty-one million, one hundred ninety-three", and thus it is an aban number.