100031320013 has 8 divisors (see below), whose sum is σ = 102519283776. Its totient is φ = 97545650400.

The previous prime is 100031320007. The next prime is 100031320057. The reversal of 100031320013 is 310023130001.

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 100031320013 - 2²⁰ = 100030271437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100031320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031320813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485081 + ... + 659822.

It is an arithmetic number, because the mean of its divisors is an integer number (12814910472).

Almost surely, 2^100031320013 is an apocalyptic number.

It is an amenable number.

100031320013 is a deficient number, since it is larger than the sum of its proper divisors (2487963763).

100031320013 is a wasteful number, since it uses less digits than its factorization.

100031320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147075.

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

Adding to 100031320013 its reverse (310023130001), we get a palindrome (410054450014).

The spelling of 100031320013 in words is "one hundred billion, thirty-one million, three hundred twenty thousand, thirteen".