10010413134349 has 2 divisors, whose sum is σ = 10010413134350. Its totient is φ = 10010413134348.

The previous prime is 10010413134329. The next prime is 10010413134367. The reversal of 10010413134349 is 94343131401001.

10010413134349 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., 9837519336324 + 172893798025 = 3136482^2 + 415805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010413134349 - 2⁹ = 10010413133837 is a prime.

It is a super-2 number, since 2×10010413134349² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010413134329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005206567174 + 5005206567175.

It is an arithmetic number, because the mean of its divisors is an integer number (5005206567175).

Almost surely, 2^{10010413134349} is an apocalyptic number.

It is an amenable number.

10010413134349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010413134349 is an equidigital number, since it uses as much as digits as its factorization.

10010413134349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 10010413134349 in words is "ten trillion, ten billion, four hundred thirteen million, one hundred thirty-four thousand, three hundred forty-nine".