100333331313 has 4 divisors (see below), whose sum is σ = 133777775088. Its totient is φ = 66888887540.

The previous prime is 100333331299. The next prime is 100333331327. The reversal of 100333331313 is 313133333001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313133333001 = 3 ⋅104377777667.

It is an interprime number because it is at equal distance from previous prime (100333331299) and next prime (100333331327).

It is a cyclic number.

It is not a de Polignac number, because 100333331313 - 2¹⁶ = 100333265777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100333331353) 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 in 3 ways as a sum of consecutive naturals, for example, 16722221883 + ... + 16722221888.

It is an arithmetic number, because the mean of its divisors is an integer number (33444443772).

Almost surely, 2^100333331313 is an apocalyptic number.

It is an amenable number.

100333331313 is a deficient number, since it is larger than the sum of its proper divisors (33444443775).

100333331313 is an equidigital number, since it uses as much as digits as its factorization.

100333331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33444443774.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 100333331313 its reverse (313133333001), we get a palindrome (413466664314).

The spelling of 100333331313 in words is "one hundred billion, three hundred thirty-three million, three hundred thirty-one thousand, three hundred thirteen".