100111303313 has 8 divisors (see below), whose sum is σ = 114468664128. Its totient is φ = 85767879024.

The previous prime is 100111303267. The next prime is 100111303343. The reversal of 100111303313 is 313303111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111303313 - 2¹² = 100111299217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111303291 and 100111303300.

It is not an unprimeable number, because it can be changed into a prime (100111303343) 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 in 7 ways as a sum of consecutive naturals, for example, 3468731 + ... + 3497472.

It is an arithmetic number, because the mean of its divisors is an integer number (14308583016).

Almost surely, 2^100111303313 is an apocalyptic number.

It is an amenable number.

100111303313 is a deficient number, since it is larger than the sum of its proper divisors (14357360815).

100111303313 is an equidigital number, since it uses as much as digits as its factorization.

100111303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968263.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100111303313 its reverse (313303111001), we get a palindrome (413414414314).

The spelling of 100111303313 in words is "one hundred billion, one hundred eleven million, three hundred three thousand, three hundred thirteen".