10041034201337 has 2 divisors, whose sum is σ = 10041034201338. Its totient is φ = 10041034201336.

The previous prime is 10041034201283. The next prime is 10041034201351. The reversal of 10041034201337 is 73310243014001.

10041034201337 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., 9479188011241 + 561846190096 = 3078829^2 + 749564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041034201337 - 2²⁴ = 10041017424121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10041034201537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020517100668 + 5020517100669.

It is an arithmetic number, because the mean of its divisors is an integer number (5020517100669).

Almost surely, 2^{10041034201337} is an apocalyptic number.

It is an amenable number.

10041034201337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041034201337 is an equidigital number, since it uses as much as digits as its factorization.

10041034201337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 10041034201337 its reverse (73310243014001), we get a palindrome (83351277215338).

The spelling of 10041034201337 in words is "ten trillion, forty-one billion, thirty-four million, two hundred one thousand, three hundred thirty-seven".