21301001013001 has 2 divisors, whose sum is σ = 21301001013002. Its totient is φ = 21301001013000.

The previous prime is 21301001012971. The next prime is 21301001013037. The reversal of 21301001013001 is 10031010010312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20488296960000 + 812704053001 = 4526400^2 + 901501^2 .

It is a cyclic number.

It is not a de Polignac number, because 21301001013001 - 2⁵ = 21301001012969 is a prime.

It is a super-3 number, since 3×21301001013001³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21301001413001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10650500506500 + 10650500506501.

It is an arithmetic number, because the mean of its divisors is an integer number (10650500506501).

Almost surely, 2^{21301001013001} is an apocalyptic number.

It is an amenable number.

21301001013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21301001013001 is an equidigital number, since it uses as much as digits as its factorization.

21301001013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 21301001013001 its reverse (10031010010312), we get a palindrome (31332011023313).

The spelling of 21301001013001 in words is "twenty-one trillion, three hundred one billion, one million, thirteen thousand, one".