41023114114001 has 2 divisors, whose sum is σ = 41023114114002. Its totient is φ = 41023114114000.

The previous prime is 41023114113997. The next prime is 41023114114043. The reversal of 41023114114001 is 10041141132014.

41023114114001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40648020336400 + 375093777601 = 6375580^2 + 612449^2 .

It is a cyclic number.

It is not a de Polignac number, because 41023114114001 - 2² = 41023114113997 is a prime.

It is a super-2 number, since 2×41023114114001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41023114114051) 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, 20511557057000 + 20511557057001.

It is an arithmetic number, because the mean of its divisors is an integer number (20511557057001).

Almost surely, 2^{41023114114001} is an apocalyptic number.

It is an amenable number.

41023114114001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41023114114001 is an equidigital number, since it uses as much as digits as its factorization.

41023114114001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 41023114114001 its reverse (10041141132014), we get a palindrome (51064255246015).

The spelling of 41023114114001 in words is "forty-one trillion, twenty-three billion, one hundred fourteen million, one hundred fourteen thousand, one".