21302121013331 has 2 divisors, whose sum is σ = 21302121013332. Its totient is φ = 21302121013330.

The previous prime is 21302121013279. The next prime is 21302121013333. The reversal of 21302121013331 is 13331012120312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21302121013331 - 2⁶ = 21302121013267 is a prime.

It is a super-2 number, since 2×21302121013331² (a number of 27 digits) contains 22 as substring.

Together with 21302121013333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 21302121013297 and 21302121013306.

It is not a weakly prime, because it can be changed into another prime (21302121013333) 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, 10651060506665 + 10651060506666.

It is an arithmetic number, because the mean of its divisors is an integer number (10651060506666).

Almost surely, 2^{21302121013331} is an apocalyptic number.

21302121013331 is a deficient number, since it is larger than the sum of its proper divisors (1).

21302121013331 is an equidigital number, since it uses as much as digits as its factorization.

21302121013331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21302121013331 its reverse (13331012120312), we get a palindrome (34633133133643).

The spelling of 21302121013331 in words is "twenty-one trillion, three hundred two billion, one hundred twenty-one million, thirteen thousand, three hundred thirty-one".