100131141103321 has 2 divisors, whose sum is σ = 100131141103322. Its totient is φ = 100131141103320.

The previous prime is 100131141103319. The next prime is 100131141103361. The reversal of 100131141103321 is 123301141131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94790396993296 + 5340744110025 = 9736036^2 + 2311005^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131141103321 - 2¹ = 100131141103319 is a prime.

Together with 100131141103319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100131141103292 and 100131141103301.

It is not a weakly prime, because it can be changed into another prime (100131141103361) 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, 50065570551660 + 50065570551661.

It is an arithmetic number, because the mean of its divisors is an integer number (50065570551661).

Almost surely, 2^{100131141103321} is an apocalyptic number.

It is an amenable number.

100131141103321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131141103321 is an equidigital number, since it uses as much as digits as its factorization.

100131141103321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100131141103321 its reverse (123301141131001), we get a palindrome (223432282234322).

The spelling of 100131141103321 in words is "one hundred trillion, one hundred thirty-one billion, one hundred forty-one million, one hundred three thousand, three hundred twenty-one".