10131332110013 has 8 divisors (see below), whose sum is σ = 10205516596800. Its totient is φ = 10057166155008.

The previous prime is 10131332110007. The next prime is 10131332110027. The reversal of 10131332110013 is 31001123313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131332110013 - 2²⁰ = 10131331061437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131332110073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3534593 + ... + 5723286.

It is an arithmetic number, because the mean of its divisors is an integer number (1275689574600).

Almost surely, 2^{10131332110013} is an apocalyptic number.

It is an amenable number.

10131332110013 is a deficient number, since it is larger than the sum of its proper divisors (74184486787).

10131332110013 is an equidigital number, since it uses as much as digits as its factorization.

10131332110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265891.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10131332110013 its reverse (31001123313101), we get a palindrome (41132455423114).

The spelling of 10131332110013 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred ten thousand, thirteen".