10131410725081 has 2 divisors, whose sum is σ = 10131410725082. Its totient is φ = 10131410725080.

The previous prime is 10131410725067. The next prime is 10131410725123. The reversal of 10131410725081 is 18052701413101.

10131410725081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6305146110025 + 3826264615056 = 2511005^2 + 1956084^2 .

It is an emirp because it is prime and its reverse (18052701413101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131410725081 - 2⁵ = 10131410725049 is a prime.

It is a super-2 number, since 2×10131410725081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10131410725021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065705362540 + 5065705362541.

It is an arithmetic number, because the mean of its divisors is an integer number (5065705362541).

Almost surely, 2^{10131410725081} is an apocalyptic number.

It is an amenable number.

10131410725081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131410725081 is an equidigital number, since it uses as much as digits as its factorization.

10131410725081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 34.

The spelling of 10131410725081 in words is "ten trillion, one hundred thirty-one billion, four hundred ten million, seven hundred twenty-five thousand, eighty-one".