412100023002013 has 2 divisors, whose sum is σ = 412100023002014. Its totient is φ = 412100023002012.

The previous prime is 412100023001921. The next prime is 412100023002071. The reversal of 412100023002013 is 310200320001214.

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., 293182677366084 + 118917345635929 = 17122578^2 + 10904923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-412100023002013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412100053002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206050011501006 + 206050011501007.

It is an arithmetic number, because the mean of its divisors is an integer number (206050011501007).

Almost surely, 2^{412100023002013} is an apocalyptic number.

It is an amenable number.

412100023002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

412100023002013 is an equidigital number, since it uses as much as digits as its factorization.

412100023002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 412100023002013 its reverse (310200320001214), we get a palindrome (722300343003227).

The spelling of 412100023002013 in words is "four hundred twelve trillion, one hundred billion, twenty-three million, two thousand, thirteen".