13300122100021 has 2 divisors, whose sum is σ = 13300122100022. Its totient is φ = 13300122100020.

The previous prime is 13300122099967. The next prime is 13300122100037. The reversal of 13300122100021 is 12000122100331.

It is an a-pointer prime, because the next prime (13300122100037) can be obtained adding 13300122100021 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12592462599396 + 707659500625 = 3548586^2 + 841225^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300122100021 - 2¹³ = 13300122091829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300122099968 and 13300122100004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13300122100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650061050010 + 6650061050011.

It is an arithmetic number, because the mean of its divisors is an integer number (6650061050011).

Almost surely, 2^{13300122100021} is an apocalyptic number.

It is an amenable number.

13300122100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300122100021 is an equidigital number, since it uses as much as digits as its factorization.

13300122100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13300122100021 its reverse (12000122100331), we get a palindrome (25300244200352).

The spelling of 13300122100021 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, one hundred thousand, twenty-one".