13220242040953 has 2 divisors, whose sum is σ = 13220242040954. Its totient is φ = 13220242040952.

The previous prime is 13220242040923. The next prime is 13220242041001. The reversal of 13220242040953 is 35904024202231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13159967862889 + 60274178064 = 3627667^2 + 245508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13220242040953 is a prime.

It is a super-2 number, since 2×13220242040953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13220242040903) 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, 6610121020476 + 6610121020477.

It is an arithmetic number, because the mean of its divisors is an integer number (6610121020477).

Almost surely, 2^{13220242040953} is an apocalyptic number.

It is an amenable number.

13220242040953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220242040953 is an equidigital number, since it uses as much as digits as its factorization.

13220242040953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 13220242040953 in words is "thirteen trillion, two hundred twenty billion, two hundred forty-two million, forty thousand, nine hundred fifty-three".