13021420131353 has 2 divisors, whose sum is σ = 13021420131354. Its totient is φ = 13021420131352.

The previous prime is 13021420131337. The next prime is 13021420131367. The reversal of 13021420131353 is 35313102412031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9119361149584 + 3902058981769 = 3019828^2 + 1975363^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021420131353 - 2⁴ = 13021420131337 is a prime.

It is a super-2 number, since 2×13021420131353² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13021420131053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510710065676 + 6510710065677.

It is an arithmetic number, because the mean of its divisors is an integer number (6510710065677).

Almost surely, 2^{13021420131353} is an apocalyptic number.

It is an amenable number.

13021420131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021420131353 is an equidigital number, since it uses as much as digits as its factorization.

13021420131353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13021420131353 its reverse (35313102412031), we get a palindrome (48334522543384).

The spelling of 13021420131353 in words is "thirteen trillion, twenty-one billion, four hundred twenty million, one hundred thirty-one thousand, three hundred fifty-three".