10131041334013 has 8 divisors (see below), whose sum is σ = 10481706279000. Its totient is φ = 9780464301888.

The previous prime is 10131041333981. The next prime is 10131041334019. The reversal of 10131041334013 is 31043314013101.

It can be written as a sum of positive squares in 4 ways, for example, as 792559306564 + 9338482027449 = 890258^2 + 3055893^2 .

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 10131041334013 - 2⁵ = 10131041333981 is a prime.

It is a super-2 number, since 2×10131041334013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131041334019) 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, 21743706 + ... + 22204747.

It is an arithmetic number, because the mean of its divisors is an integer number (1310213284875).

Almost surely, 2^{10131041334013} is an apocalyptic number.

It is an amenable number.

10131041334013 is a deficient number, since it is larger than the sum of its proper divisors (350664944987).

10131041334013 is an equidigital number, since it uses as much as digits as its factorization.

10131041334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43956431.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10131041334013 its reverse (31043314013101), we get a palindrome (41174355347114).

The spelling of 10131041334013 in words is "ten trillion, one hundred thirty-one billion, forty-one million, three hundred thirty-four thousand, thirteen".