21001420323313 has 2 divisors, whose sum is σ = 21001420323314. Its totient is φ = 21001420323312.

The previous prime is 21001420323287. The next prime is 21001420323319. The reversal of 21001420323313 is 31332302410012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20194310340864 + 807109982449 = 4493808^2 + 898393^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001420323313 - 2³³ = 20992830388721 is a prime.

It is not a weakly prime, because it can be changed into another prime (21001420323319) 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, 10500710161656 + 10500710161657.

It is an arithmetic number, because the mean of its divisors is an integer number (10500710161657).

Almost surely, 2^{21001420323313} is an apocalyptic number.

It is an amenable number.

21001420323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001420323313 is an equidigital number, since it uses as much as digits as its factorization.

21001420323313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21001420323313 its reverse (31332302410012), we get a palindrome (52333722733325).

The spelling of 21001420323313 in words is "twenty-one trillion, one billion, four hundred twenty million, three hundred twenty-three thousand, three hundred thirteen".