21001404013 has 2 divisors, whose sum is σ = 21001404014. Its totient is φ = 21001404012.

The previous prime is 21001403989. The next prime is 21001404037. The reversal of 21001404013 is 31040410012.

It is a balanced prime because it is at equal distance from previous prime (21001403989) and next prime (21001404037).

It can be written as a sum of positive squares in only one way, i.e., 19377475209 + 1623928804 = 139203^2 + 40298^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001404013 - 2²⁹ = 20464533101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21001804013) 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, 10500702006 + 10500702007.

It is an arithmetic number, because the mean of its divisors is an integer number (10500702007).

Almost surely, 2^21001404013 is an apocalyptic number.

It is an amenable number.

21001404013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001404013 is an equidigital number, since it uses as much as digits as its factorization.

21001404013 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 16.

Adding to 21001404013 its reverse (31040410012), we get a palindrome (52041814025).

The spelling of 21001404013 in words is "twenty-one billion, one million, four hundred four thousand, thirteen".