100031300013 has 16 divisors (see below), whose sum is σ = 138856245056. Its totient is φ = 63996324480.

The previous prime is 100031300009. The next prime is 100031300021. The reversal of 100031300013 is 310003130001.

It is not a de Polignac number, because 100031300013 - 2² = 100031300009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031300003) 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 15 ways as a sum of consecutive naturals, for example, 6164383 + ... + 6180588.

It is an arithmetic number, because the mean of its divisors is an integer number (8678515316).

Almost surely, 2^100031300013 is an apocalyptic number.

It is an amenable number.

100031300013 is a deficient number, since it is larger than the sum of its proper divisors (38824945043).

100031300013 is a wasteful number, since it uses less digits than its factorization.

100031300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345084.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100031300013 its reverse (310003130001), we get a palindrome (410034430014).

It can be divided in two parts, 10003130001 and 3, that multiplied together give a palindrome (30009390003).

The spelling of 100031300013 in words is "one hundred billion, thirty-one million, three hundred thousand, thirteen".