100301122313 has 8 divisors (see below), whose sum is σ = 114634261632. Its totient is φ = 85969084896.

The previous prime is 100301122309. The next prime is 100301122343. The reversal of 100301122313 is 313221103001.

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 100301122313 - 2² = 100301122309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100301122291 and 100301122300.

It is not an unprimeable number, because it can be changed into a prime (100301122343) 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 7 ways as a sum of consecutive naturals, for example, 70220 + ... + 453357.

It is an arithmetic number, because the mean of its divisors is an integer number (14329282704).

Almost surely, 2^100301122313 is an apocalyptic number.

It is an amenable number.

100301122313 is a deficient number, since it is larger than the sum of its proper divisors (14333139319).

100301122313 is an equidigital number, since it uses as much as digits as its factorization.

100301122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550951.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100301122313 its reverse (313221103001), we get a palindrome (413522225314).

The spelling of 100301122313 in words is "one hundred billion, three hundred one million, one hundred twenty-two thousand, three hundred thirteen".