100031342321 has 2 divisors, whose sum is σ = 100031342322. Its totient is φ = 100031342320.

The previous prime is 100031342309. The next prime is 100031342339. The reversal of 100031342321 is 123243130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86115837025 + 13915505296 = 293455^2 + 117964^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031342321 - 2¹⁰ = 100031341297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100031342293 and 100031342302.

It is not a weakly prime, because it can be changed into another prime (100031341321) 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, 50015671160 + 50015671161.

It is an arithmetic number, because the mean of its divisors is an integer number (50015671161).

Almost surely, 2^100031342321 is an apocalyptic number.

It is an amenable number.

100031342321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031342321 is an equidigital number, since it uses as much as digits as its factorization.

100031342321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100031342321 its reverse (123243130001), we get a palindrome (223274472322).

The spelling of 100031342321 in words is "one hundred billion, thirty-one million, three hundred forty-two thousand, three hundred twenty-one".