4100042118013 has 2 divisors, whose sum is σ = 4100042118014. Its totient is φ = 4100042118012.

The previous prime is 4100042118001. The next prime is 4100042118017. The reversal of 4100042118013 is 3108112400014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4097980776409 + 2061341604 = 2024347^2 + 45402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4100042118013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100042118017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050021059006 + 2050021059007.

It is an arithmetic number, because the mean of its divisors is an integer number (2050021059007).

Almost surely, 2^{4100042118013} is an apocalyptic number.

It is an amenable number.

4100042118013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100042118013 is an equidigital number, since it uses as much as digits as its factorization.

4100042118013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 4100042118013 its reverse (3108112400014), we get a palindrome (7208154518027).

The spelling of 4100042118013 in words is "four trillion, one hundred billion, forty-two million, one hundred eighteen thousand, thirteen".