10000034031041 has 2 divisors, whose sum is σ = 10000034031042. Its totient is φ = 10000034031040.

The previous prime is 10000034030989. The next prime is 10000034031067. The reversal of 10000034031041 is 14013043000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7174474747441 + 2825559283600 = 2678521^2 + 1680940^2 .

It is an emirp because it is prime and its reverse (14013043000001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000034031041 is a prime.

It is a super-2 number, since 2×10000034031041² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000034039041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000017015520 + 5000017015521.

It is an arithmetic number, because the mean of its divisors is an integer number (5000017015521).

Almost surely, 2^{10000034031041} is an apocalyptic number.

It is an amenable number.

10000034031041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000034031041 is an equidigital number, since it uses as much as digits as its factorization.

10000034031041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10000034031041 its reverse (14013043000001), we get a palindrome (24013077031042).

The spelling of 10000034031041 in words is "ten trillion, thirty-four million, thirty-one thousand, forty-one".