10131131012113 has 8 divisors (see below), whose sum is σ = 10379048137416. Its totient is φ = 9883252761600.

The previous prime is 10131131012069. The next prime is 10131131012117. The reversal of 10131131012113 is 31121013113101.

It can be written as a sum of positive squares in 4 ways, for example, as 3145983310864 + 6985147701249 = 1773692^2 + 2642943^2 .

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 10131131012113 - 2⁹ = 10131131011601 is a prime.

It is a super-3 number, since 3×10131131012113³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131131012117) 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, 9190756 + ... + 10233877.

It is an arithmetic number, because the mean of its divisors is an integer number (1297381017177).

Almost surely, 2^{10131131012113} is an apocalyptic number.

It is an amenable number.

10131131012113 is a deficient number, since it is larger than the sum of its proper divisors (247917125303).

10131131012113 is a wasteful number, since it uses less digits than its factorization.

10131131012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19437395.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 10131131012113 its reverse (31121013113101), we get a palindrome (41252144125214).

The spelling of 10131131012113 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-one million, twelve thousand, one hundred thirteen".