100031031013 has 8 divisors (see below), whose sum is σ = 103530843000. Its totient is φ = 96534583488.

The previous prime is 100031031011. The next prime is 100031031017. The reversal of 100031031013 is 310130130001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26254693089 + 73776337924 = 162033^2 + 271618^2 .

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 100031031013 - 2¹ = 100031031011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100031030984 and 100031031002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031031011) 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, 780538 + ... + 899611.

It is an arithmetic number, because the mean of its divisors is an integer number (12941355375).

Almost surely, 2^100031031013 is an apocalyptic number.

It is an amenable number.

100031031013 is a deficient number, since it is larger than the sum of its proper divisors (3499811987).

100031031013 is a wasteful number, since it uses less digits than its factorization.

100031031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682231.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100031031013 its reverse (310130130001), we get a palindrome (410161161014).

The spelling of 100031031013 in words is "one hundred billion, thirty-one million, thirty-one thousand, thirteen".