100135333313 has 2 divisors, whose sum is σ = 100135333314. Its totient is φ = 100135333312.

The previous prime is 100135333303. The next prime is 100135333321. The reversal of 100135333313 is 313333531001.

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., 91462695184 + 8672638129 = 302428^2 + 93127^2 .

It is a cyclic number.

It is not a de Polignac number, because 100135333313 - 2¹⁶ = 100135267777 is a prime.

It is not a weakly prime, because it can be changed into another prime (100135333303) 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, 50067666656 + 50067666657.

It is an arithmetic number, because the mean of its divisors is an integer number (50067666657).

Almost surely, 2^100135333313 is an apocalyptic number.

It is an amenable number.

100135333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100135333313 is an equidigital number, since it uses as much as digits as its factorization.

100135333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 26.

Adding to 100135333313 its reverse (313333531001), we get a palindrome (413468864314).

The spelling of 100135333313 in words is "one hundred billion, one hundred thirty-five million, three hundred thirty-three thousand, three hundred thirteen".