10031120113 has 12 divisors (see below), whose sum is σ = 12355258212. Its totient is φ = 8092331520.

The previous prime is 10031120087. The next prime is 10031120119. The reversal of 10031120113 is 31102113001.

It can be written as a sum of positive squares in 2 ways, for example, as 8542935184 + 1488184929 = 92428^2 + 38577^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10031120113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10031120093 and 10031120102.

It is not an unprimeable number, because it can be changed into a prime (10031120119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6020248 + ... + 6021913.

It is an arithmetic number, because the mean of its divisors is an integer number (1029604851).

Almost surely, 2^10031120113 is an apocalyptic number.

It is an amenable number.

10031120113 is a deficient number, since it is larger than the sum of its proper divisors (2324138099).

10031120113 is a wasteful number, since it uses less digits than its factorization.

10031120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042192 (or 12042185 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10031120113 its reverse (31102113001), we get a palindrome (41133233114).

The spelling of 10031120113 in words is "ten billion, thirty-one million, one hundred twenty thousand, one hundred thirteen".