100310321231993 has 2 divisors, whose sum is σ = 100310321231994. Its totient is φ = 100310321231992.

The previous prime is 100310321231969. The next prime is 100310321232181. The reversal of 100310321231993 is 399132123013001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96708873760489 + 3601447471504 = 9834067^2 + 1897748^2 .

It is a cyclic number.

It is not a de Polignac number, because 100310321231993 - 2³⁴ = 100293141362809 is a prime.

It is not a weakly prime, because it can be changed into another prime (100310321231903) 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, 50155160615996 + 50155160615997.

It is an arithmetic number, because the mean of its divisors is an integer number (50155160615997).

Almost surely, 2^{100310321231993} is an apocalyptic number.

It is an amenable number.

100310321231993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100310321231993 is an equidigital number, since it uses as much as digits as its factorization.

100310321231993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

Adding to 100310321231993 its reverse (399132123013001), we get a palindrome (499442444244994).

The spelling of 100310321231993 in words is "one hundred trillion, three hundred ten billion, three hundred twenty-one million, two hundred thirty-one thousand, nine hundred ninety-three".