13021301120353 has 2 divisors, whose sum is σ = 13021301120354. Its totient is φ = 13021301120352.

The previous prime is 13021301120299. The next prime is 13021301120371. The reversal of 13021301120353 is 35302110312031.

13021301120353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8900007290944 + 4121293829409 = 2983288^2 + 2030097^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021301120353 - 2²⁵ = 13021267565921 is a prime.

It is not a weakly prime, because it can be changed into another prime (13021301220353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510650560176 + 6510650560177.

It is an arithmetic number, because the mean of its divisors is an integer number (6510650560177).

Almost surely, 2^{13021301120353} is an apocalyptic number.

It is an amenable number.

13021301120353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021301120353 is an equidigital number, since it uses as much as digits as its factorization.

13021301120353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 13021301120353 its reverse (35302110312031), we get a palindrome (48323411432384).

The spelling of 13021301120353 in words is "thirteen trillion, twenty-one billion, three hundred one million, one hundred twenty thousand, three hundred fifty-three".