10131113006 has 16 divisors (see below), whose sum is σ = 18281708160. Its totient is φ = 4113384120.

The previous prime is 10131112969. The next prime is 10131113033. The reversal of 10131113006 is 60031113101.

10131113006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19043180 + ... + 19043711.

It is an arithmetic number, because the mean of its divisors is an integer number (1142606760).

Almost surely, 2^10131113006 is an apocalyptic number.

10131113006 is a deficient number, since it is larger than the sum of its proper divisors (8150595154).

10131113006 is a wasteful number, since it uses less digits than its factorization.

10131113006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38086919.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10131113006 its reverse (60031113101), we get a palindrome (70162226107).

The spelling of 10131113006 in words is "ten billion, one hundred thirty-one million, one hundred thirteen thousand, six".