100313313013 has 8 divisors (see below), whose sum is σ = 103666524416. Its totient is φ = 96967432800.

The previous prime is 100313312987. The next prime is 100313313041. The reversal of 100313313013 is 310313313001.

It is a happy number.

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 100313313013 - 2²⁵ = 100279758581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313313413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804968 + ... + 1859713.

It is an arithmetic number, because the mean of its divisors is an integer number (12958315552).

Almost surely, 2^100313313013 is an apocalyptic number.

It is an amenable number.

100313313013 is a deficient number, since it is larger than the sum of its proper divisors (3353211403).

100313313013 is an equidigital number, since it uses as much as digits as its factorization.

100313313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665595.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100313313013 its reverse (310313313001), we get a palindrome (410626626014).

The spelling of 100313313013 in words is "one hundred billion, three hundred thirteen million, three hundred thirteen thousand, thirteen".