10011141331067 has 2 divisors, whose sum is σ = 10011141331068. Its totient is φ = 10011141331066.

The previous prime is 10011141330991. The next prime is 10011141331157. The reversal of 10011141331067 is 76013314111001.

It is a weak prime.

It is an emirp because it is prime and its reverse (76013314111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011141331067 - 2⁸ = 10011141330811 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011141331267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005570665533 + 5005570665534.

It is an arithmetic number, because the mean of its divisors is an integer number (5005570665534).

Almost surely, 2^{10011141331067} is an apocalyptic number.

10011141331067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011141331067 is an equidigital number, since it uses as much as digits as its factorization.

10011141331067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

Adding to 10011141331067 its reverse (76013314111001), we get a palindrome (86024455442068).

The spelling of 10011141331067 in words is "ten trillion, eleven billion, one hundred forty-one million, three hundred thirty-one thousand, sixty-seven".