10131113102241 has 8 divisors (see below), whose sum is σ = 13555882785760. Its totient is φ = 6730209410112.

The previous prime is 10131113102189. The next prime is 10131113102249. The reversal of 10131113102241 is 14220131113101.

It is a happy number.

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

It is not a de Polignac number, because 10131113102241 - 2⁷ = 10131113102113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131113102249) 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 7 ways as a sum of consecutive naturals, for example, 5966496856 + ... + 5966498553.

It is an arithmetic number, because the mean of its divisors is an integer number (1694485348220).

Almost surely, 2^{10131113102241} is an apocalyptic number.

It is an amenable number.

10131113102241 is a deficient number, since it is larger than the sum of its proper divisors (3424769683519).

10131113102241 is a wasteful number, since it uses less digits than its factorization.

10131113102241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932995695.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10131113102241 its reverse (14220131113101), we get a palindrome (24351244215342).

The spelling of 10131113102241 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred two thousand, two hundred forty-one".