10021311002413 has 2 divisors, whose sum is σ = 10021311002414. Its totient is φ = 10021311002412.

The previous prime is 10021311002407. The next prime is 10021311002441. The reversal of 10021311002413 is 31420011312001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6633602034084 + 3387708968329 = 2575578^2 + 1840573^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021311002413 - 2⁹ = 10021311001901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021311002453) 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, 5010655501206 + 5010655501207.

It is an arithmetic number, because the mean of its divisors is an integer number (5010655501207).

Almost surely, 2^{10021311002413} is an apocalyptic number.

It is an amenable number.

10021311002413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021311002413 is an equidigital number, since it uses as much as digits as its factorization.

10021311002413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10021311002413 its reverse (31420011312001), we get a palindrome (41441322314414).

The spelling of 10021311002413 in words is "ten trillion, twenty-one billion, three hundred eleven million, two thousand, four hundred thirteen".