100330201313 has 2 divisors, whose sum is σ = 100330201314. Its totient is φ = 100330201312.

The previous prime is 100330201289. The next prime is 100330201319. The reversal of 100330201313 is 313102033001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97174345984 + 3155855329 = 311728^2 + 56177^2 .

It is a cyclic number.

It is not a de Polignac number, because 100330201313 - 2⁸ = 100330201057 is a prime.

It is a super-2 number, since 2×100330201313² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100330201291 and 100330201300.

It is not a weakly prime, because it can be changed into another prime (100330201319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165100656 + 50165100657.

It is an arithmetic number, because the mean of its divisors is an integer number (50165100657).

Almost surely, 2^100330201313 is an apocalyptic number.

It is an amenable number.

100330201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330201313 is an equidigital number, since it uses as much as digits as its factorization.

100330201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100330201313 its reverse (313102033001), we get a palindrome (413432234314).

The spelling of 100330201313 in words is "one hundred billion, three hundred thirty million, two hundred one thousand, three hundred thirteen".