100031020313 has 8 divisors (see below), whose sum is σ = 115768270080. Its totient is φ = 84655546560.

The previous prime is 100031020289. The next prime is 100031020333. The reversal of 100031020313 is 313020130001.

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 100031020313 - 2¹⁸ = 100030758169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100031020333) 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, 90443408 + ... + 90444513.

It is an arithmetic number, because the mean of its divisors is an integer number (14471033760).

Almost surely, 2^100031020313 is an apocalyptic number.

It is an amenable number.

100031020313 is a deficient number, since it is larger than the sum of its proper divisors (15737249767).

100031020313 is an equidigital number, since it uses as much as digits as its factorization.

100031020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180888007.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100031020313 its reverse (313020130001), we get a palindrome (413051150314).

The spelling of 100031020313 in words is "one hundred billion, thirty-one million, twenty thousand, three hundred thirteen".