10031022113 has 6 divisors (see below), whose sum is σ = 11668740066. Its totient is φ = 8598018912.

The previous prime is 10031022109. The next prime is 10031022121. The reversal of 10031022113 is 31122013001.

10031022113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8455170304 + 1575851809 = 91952^2 + 39697^2 .

It is not a de Polignac number, because 10031022113 - 2² = 10031022109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031022173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102357320 + ... + 102357417.

It is an arithmetic number, because the mean of its divisors is an integer number (1944790011).

Almost surely, 2^10031022113 is an apocalyptic number.

It is an amenable number.

10031022113 is a deficient number, since it is larger than the sum of its proper divisors (1637717953).

10031022113 is an equidigital number, since it uses as much as digits as its factorization.

10031022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204714751 (or 204714744 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10031022113 its reverse (31122013001), we get a palindrome (41153035114).

The spelling of 10031022113 in words is "ten billion, thirty-one million, twenty-two thousand, one hundred thirteen".