10031112102113 has 8 divisors (see below), whose sum is σ = 10072846283016. Its totient is φ = 9989378841600.

The previous prime is 10031112102043. The next prime is 10031112102211. The reversal of 10031112102113 is 31120121113001.

It can be written as a sum of positive squares in 4 ways, for example, as 1720535902864 + 8310576199249 = 1311692^2 + 2882807^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10031112102113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10031112102091 and 10031112102100.

It is not an unprimeable number, because it can be changed into a prime (10031112102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29675693 + ... + 30011813.

It is an arithmetic number, because the mean of its divisors is an integer number (1259105785377).

Almost surely, 2^{10031112102113} is an apocalyptic number.

It is an amenable number.

10031112102113 is a deficient number, since it is larger than the sum of its proper divisors (41734180903).

10031112102113 is a wasteful number, since it uses less digits than its factorization.

10031112102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460195.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10031112102113 its reverse (31120121113001), we get a palindrome (41151233215114).

The spelling of 10031112102113 in words is "ten trillion, thirty-one billion, one hundred twelve million, one hundred two thousand, one hundred thirteen".