10000034031067 has 2 divisors, whose sum is σ = 10000034031068. Its totient is φ = 10000034031066.

The previous prime is 10000034031041. The next prime is 10000034031089. The reversal of 10000034031067 is 76013043000001.

10000034031067 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 is a cyclic number.

It is not a de Polignac number, because 10000034031067 - 2²⁷ = 9999899813339 is a prime.

It is a super-3 number, since 3×10000034031067³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10000034031367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000017015533 + 5000017015534.

It is an arithmetic number, because the mean of its divisors is an integer number (5000017015534).

Almost surely, 2^{10000034031067} is an apocalyptic number.

10000034031067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000034031067 is an equidigital number, since it uses as much as digits as its factorization.

10000034031067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 10000034031067 its reverse (76013043000001), we get a palindrome (86013077031068).

The spelling of 10000034031067 in words is "ten trillion, thirty-four million, thirty-one thousand, sixty-seven".