10114003330349 has 2 divisors, whose sum is σ = 10114003330350. Its totient is φ = 10114003330348.

The previous prime is 10114003330339. The next prime is 10114003330351. The reversal of 10114003330349 is 94303330041101.

10114003330349 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., 8220577794025 + 1893425536324 = 2867155^2 + 1376018^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114003330349 - 2³⁶ = 10045283853613 is a prime.

Together with 10114003330351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10114003330339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057001665174 + 5057001665175.

It is an arithmetic number, because the mean of its divisors is an integer number (5057001665175).

Almost surely, 2^{10114003330349} is an apocalyptic number.

It is an amenable number.

10114003330349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114003330349 is an equidigital number, since it uses as much as digits as its factorization.

10114003330349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 10114003330349 in words is "ten trillion, one hundred fourteen billion, three million, three hundred thirty thousand, three hundred forty-nine".