10114135313 has 2 divisors, whose sum is σ = 10114135314. Its totient is φ = 10114135312.

The previous prime is 10114135301. The next prime is 10114135319. The reversal of 10114135313 is 31353141101.

10114135313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8985712849 + 1128422464 = 94793^2 + 33592^2 .

It is an emirp because it is prime and its reverse (31353141101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10114135313 - 2¹² = 10114131217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10114135319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057067656 + 5057067657.

It is an arithmetic number, because the mean of its divisors is an integer number (5057067657).

Almost surely, 2^10114135313 is an apocalyptic number.

It is an amenable number.

10114135313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114135313 is an equidigital number, since it uses as much as digits as its factorization.

10114135313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 10114135313 its reverse (31353141101), we get a palindrome (41467276414).

The spelling of 10114135313 in words is "ten billion, one hundred fourteen million, one hundred thirty-five thousand, three hundred thirteen".