10111013031 has 16 divisors (see below), whose sum is σ = 15487930368. Its totient is φ = 5747469600.

The previous prime is 10111013027. The next prime is 10111013113. The reversal of 10111013031 is 13031011101.

10111013031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111013031 - 2² = 10111013027 is a prime.

It is a super-2 number, since 2×10111013031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111012998 and 10111013016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111012031) 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, 1256400 + ... + 1264421.

It is an arithmetic number, because the mean of its divisors is an integer number (967995648).

Almost surely, 2^10111013031 is an apocalyptic number.

10111013031 is a deficient number, since it is larger than the sum of its proper divisors (5376917337).

10111013031 is a wasteful number, since it uses less digits than its factorization.

10111013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521022.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10111013031 its reverse (13031011101), we get a palindrome (23142024132).

The spelling of 10111013031 in words is "ten billion, one hundred eleven million, thirteen thousand, thirty-one".