100301311321 has 2 divisors, whose sum is σ = 100301311322. Its totient is φ = 100301311320.

The previous prime is 100301311307. The next prime is 100301311333. The reversal of 100301311321 is 123113103001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99199801600 + 1101509721 = 314960^2 + 33189^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301311321 - 2¹⁷ = 100301180249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100301311295 and 100301311304.

It is not a weakly prime, because it can be changed into another prime (100301315321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50150655660 + 50150655661.

It is an arithmetic number, because the mean of its divisors is an integer number (50150655661).

Almost surely, 2^100301311321 is an apocalyptic number.

It is an amenable number.

100301311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301311321 is an equidigital number, since it uses as much as digits as its factorization.

100301311321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100301311321 its reverse (123113103001), we get a palindrome (223414414322).

The spelling of 100301311321 in words is "one hundred billion, three hundred one million, three hundred eleven thousand, three hundred twenty-one".