10010131100011 has 32 divisors (see below), whose sum is σ = 11610913351680. Its totient is φ = 8452990224000.

The previous prime is 10010131099999. The next prime is 10010131100017. The reversal of 10010131100011 is 11000113101001.

It is a de Polignac number, because none of the positive numbers 2^k-10010131100011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010131100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115444405 + ... + 115531081.

It is an arithmetic number, because the mean of its divisors is an integer number (362841042240).

Almost surely, 2^{10010131100011} is an apocalyptic number.

10010131100011 is a deficient number, since it is larger than the sum of its proper divisors (1600782251669).

10010131100011 is a wasteful number, since it uses less digits than its factorization.

10010131100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87595.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10010131100011 its reverse (11000113101001), we get a palindrome (21010244201012).

The spelling of 10010131100011 in words is "ten trillion, ten billion, one hundred thirty-one million, one hundred thousand, eleven".