10003131112 has 64 divisors (see below), whose sum is σ = 21162072960. Its totient is φ = 4398240000.

The previous prime is 10003131107. The next prime is 10003131167. The reversal of 10003131112 is 21113130001.

10003131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10003131092 and 10003131101.

It is an unprimeable number.

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, 592062 + ... + 608722.

It is an arithmetic number, because the mean of its divisors is an integer number (330657390).

Almost surely, 2^10003131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581036480).

10003131112 is an abundant number, since it is smaller than the sum of its proper divisors (11158941848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003131112 is a wasteful number, since it uses less digits than its factorization.

10003131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16950 counting only the distinct ones).

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

Adding to 10003131112 its reverse (21113130001), we get a palindrome (31116261113).

The spelling of 10003131112 in words is "ten billion, three million, one hundred thirty-one thousand, one hundred twelve".