41040012013001 has 2 divisors, whose sum is σ = 41040012013002. Its totient is φ = 41040012013000.

The previous prime is 41040012012983. The next prime is 41040012013009. The reversal of 41040012013001 is 10031021004014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20882605923001 + 20157406090000 = 4569749^2 + 4489700^2 .

It is a cyclic number.

It is not a de Polignac number, because 41040012013001 - 2³⁴ = 41022832143817 is a prime.

It is not a weakly prime, because it can be changed into another prime (41040012013009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20520006006500 + 20520006006501.

It is an arithmetic number, because the mean of its divisors is an integer number (20520006006501).

Almost surely, 2^{41040012013001} is an apocalyptic number.

It is an amenable number.

41040012013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41040012013001 is an equidigital number, since it uses as much as digits as its factorization.

41040012013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 41040012013001 its reverse (10031021004014), we get a palindrome (51071033017015).

The spelling of 41040012013001 in words is "forty-one trillion, forty billion, twelve million, thirteen thousand, one".