10114535105113 has 2 divisors, whose sum is σ = 10114535105114. Its totient is φ = 10114535105112.

The previous prime is 10114535105089. The next prime is 10114535105137. The reversal of 10114535105113 is 31150153541101.

It is a balanced prime because it is at equal distance from previous prime (10114535105089) and next prime (10114535105137).

It can be written as a sum of positive squares in only one way, i.e., 6649606014489 + 3464929090624 = 2578683^2 + 1861432^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114535105113 - 2³⁷ = 9977096151641 is a prime.

It is not a weakly prime, because it can be changed into another prime (10114535105153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057267552556 + 5057267552557.

It is an arithmetic number, because the mean of its divisors is an integer number (5057267552557).

Almost surely, 2^{10114535105113} is an apocalyptic number.

It is an amenable number.

10114535105113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114535105113 is an equidigital number, since it uses as much as digits as its factorization.

10114535105113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 31.

Adding to 10114535105113 its reverse (31150153541101), we get a palindrome (41264688646214).

The spelling of 10114535105113 in words is "ten trillion, one hundred fourteen billion, five hundred thirty-five million, one hundred five thousand, one hundred thirteen".