10142014412113 has 2 divisors, whose sum is σ = 10142014412114. Its totient is φ = 10142014412112.

The previous prime is 10142014412111. The next prime is 10142014412141. The reversal of 10142014412113 is 31121441024101.

10142014412113 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., 9441257911569 + 700756500544 = 3072663^2 + 837112^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142014412113 - 2¹ = 10142014412111 is a prime.

It is a super-2 number, since 2×10142014412113² (a number of 27 digits) contains 22 as substring.

Together with 10142014412111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10142014412111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071007206056 + 5071007206057.

It is an arithmetic number, because the mean of its divisors is an integer number (5071007206057).

Almost surely, 2^{10142014412113} is an apocalyptic number.

It is an amenable number.

10142014412113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142014412113 is an equidigital number, since it uses as much as digits as its factorization.

10142014412113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10142014412113 its reverse (31121441024101), we get a palindrome (41263455436214).

The spelling of 10142014412113 in words is "ten trillion, one hundred forty-two billion, fourteen million, four hundred twelve thousand, one hundred thirteen".