100110131321 has 2 divisors, whose sum is σ = 100110131322. Its totient is φ = 100110131320.

The previous prime is 100110131299. The next prime is 100110131323. The reversal of 100110131321 is 123131011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89493714025 + 10616417296 = 299155^2 + 103036^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110131321 - 2⁶ = 100110131257 is a prime.

Together with 100110131323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110131296 and 100110131305.

It is not a weakly prime, because it can be changed into another prime (100110131323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055065660 + 50055065661.

It is an arithmetic number, because the mean of its divisors is an integer number (50055065661).

Almost surely, 2^100110131321 is an apocalyptic number.

It is an amenable number.

100110131321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110131321 is an equidigital number, since it uses as much as digits as its factorization.

100110131321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100110131321 its reverse (123131011001), we get a palindrome (223241142322).

The spelling of 100110131321 in words is "one hundred billion, one hundred ten million, one hundred thirty-one thousand, three hundred twenty-one".