100312321130993 has 2 divisors, whose sum is σ = 100312321130994. Its totient is φ = 100312321130992.

The previous prime is 100312321130971. The next prime is 100312321131049. The reversal of 100312321130993 is 399031123213001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93475309437169 + 6837011693824 = 9668263^2 + 2614768^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312321130993 - 2³⁸ = 100037443224049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100312321130093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156160565496 + 50156160565497.

It is an arithmetic number, because the mean of its divisors is an integer number (50156160565497).

Almost surely, 2^{100312321130993} is an apocalyptic number.

It is an amenable number.

100312321130993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312321130993 is an equidigital number, since it uses as much as digits as its factorization.

100312321130993 is an evil number, because the sum of its binary digits is even.

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

Adding to 100312321130993 its reverse (399031123213001), we get a palindrome (499343444343994).

The spelling of 100312321130993 in words is "one hundred trillion, three hundred twelve billion, three hundred twenty-one million, one hundred thirty thousand, nine hundred ninety-three".