10001018413 has 2 divisors, whose sum is σ = 10001018414. Its totient is φ = 10001018412.

The previous prime is 10001018411. The next prime is 10001018437. The reversal of 10001018413 is 31481010001.

10001018413 is digitally balanced in base 2 and base 3, because in such bases 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., 9014932809 + 986085604 = 94947^2 + 31402^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001018413 - 2¹ = 10001018411 is a prime.

Together with 10001018411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001018411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000509206 + 5000509207.

It is an arithmetic number, because the mean of its divisors is an integer number (5000509207).

Almost surely, 2^10001018413 is an apocalyptic number.

It is an amenable number.

10001018413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001018413 is an equidigital number, since it uses as much as digits as its factorization.

10001018413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10001018413 its reverse (31481010001), we get a palindrome (41482028414).

The spelling of 10001018413 in words is "ten billion, one million, eighteen thousand, four hundred thirteen".