13000224133021 has 2 divisors, whose sum is σ = 13000224133022. Its totient is φ = 13000224133020.

The previous prime is 13000224132979. The next prime is 13000224133027. The reversal of 13000224133021 is 12033142200031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12900926669796 + 99297463225 = 3591786^2 + 315115^2 .

It is an emirp because it is prime and its reverse (12033142200031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13000224133021 - 2⁹ = 13000224132509 is a prime.

It is a super-2 number, since 2×13000224133021² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13000224132983 and 13000224133001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000224133027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500112066510 + 6500112066511.

It is an arithmetic number, because the mean of its divisors is an integer number (6500112066511).

Almost surely, 2^{13000224133021} is an apocalyptic number.

It is an amenable number.

13000224133021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000224133021 is an equidigital number, since it uses as much as digits as its factorization.

13000224133021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13000224133021 its reverse (12033142200031), we get a palindrome (25033366333052).

The spelling of 13000224133021 in words is "thirteen trillion, two hundred twenty-four million, one hundred thirty-three thousand, twenty-one".