13021301220353 has 2 divisors, whose sum is σ = 13021301220354. Its totient is φ = 13021301220352.

The previous prime is 13021301220329. The next prime is 13021301220373. The reversal of 13021301220353 is 35302210312031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12420880802929 + 600420417424 = 3524327^2 + 774868^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021301220353 - 2¹² = 13021301216257 is a prime.

It is a super-2 number, since 2×13021301220353² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13021301220313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510650610176 + 6510650610177.

It is an arithmetic number, because the mean of its divisors is an integer number (6510650610177).

Almost surely, 2^{13021301220353} is an apocalyptic number.

It is an amenable number.

13021301220353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021301220353 is an equidigital number, since it uses as much as digits as its factorization.

13021301220353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 13021301220353 its reverse (35302210312031), we get a palindrome (48323511532384).

The spelling of 13021301220353 in words is "thirteen trillion, twenty-one billion, three hundred one million, two hundred twenty thousand, three hundred fifty-three".