10000113931 has 2 divisors, whose sum is σ = 10000113932. Its totient is φ = 10000113930.

The previous prime is 10000113923. The next prime is 10000113941. The reversal of 10000113931 is 13931100001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000113931 - 2³ = 10000113923 is a prime.

It is a super-2 number, since 2×10000113931² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000113899 and 10000113908.

It is not a weakly prime, because it can be changed into another prime (10000113941) 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 as a sum of consecutive naturals, namely, 5000056965 + 5000056966.

It is an arithmetic number, because the mean of its divisors is an integer number (5000056966).

Almost surely, 2^10000113931 is an apocalyptic number.

10000113931 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000113931 is an equidigital number, since it uses as much as digits as its factorization.

10000113931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 10000113931 its reverse (13931100001), we get a palindrome (23931213932).

It can be divided in two parts, 100001 and 13931, that multiplied together give a palindrome (1393113931).

The spelling of 10000113931 in words is "ten billion, one hundred thirteen thousand, nine hundred thirty-one".