10142411314113 has 12 divisors (see below), whose sum is σ = 15777084266580. Its totient is φ = 6241483885536.

The previous prime is 10142411314111. The next prime is 10142411314153. The reversal of 10142411314113 is 31141311424101.

10142411314113 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 241 + 1 + 3 + 1 + 411 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2830833170064 + 7311578144049 = 1682508^2 + 2703993^2 .

It is not a de Polignac number, because 10142411314113 - 2¹ = 10142411314111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10142411314111) 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 11 ways as a sum of consecutive naturals, for example, 43343637978 + ... + 43343638211.

It is an arithmetic number, because the mean of its divisors is an integer number (1314757022215).

Almost surely, 2^{10142411314113} is an apocalyptic number.

10142411314113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10142411314113 is a deficient number, since it is larger than the sum of its proper divisors (5634672952467).

10142411314113 is a wasteful number, since it uses less digits than its factorization.

10142411314113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86687276208 (or 86687276205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10142411314113 its reverse (31141311424101), we get a palindrome (41283722738214).

The spelling of 10142411314113 in words is "ten trillion, one hundred forty-two billion, four hundred eleven million, three hundred fourteen thousand, one hundred thirteen".