13353011221013 has 2 divisors, whose sum is σ = 13353011221014. Its totient is φ = 13353011221012.

The previous prime is 13353011221007. The next prime is 13353011221057. The reversal of 13353011221013 is 31012211035331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11617579120849 + 1735432100164 = 3408457^2 + 1317358^2 .

It is a cyclic number.

It is not a de Polignac number, because 13353011221013 - 2²⁴ = 13352994443797 is a prime.

It is a super-3 number, since 3×13353011221013³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13353011221063) 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, 6676505610506 + 6676505610507.

It is an arithmetic number, because the mean of its divisors is an integer number (6676505610507).

Almost surely, 2^{13353011221013} is an apocalyptic number.

It is an amenable number.

13353011221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13353011221013 is an equidigital number, since it uses as much as digits as its factorization.

13353011221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 13353011221013 its reverse (31012211035331), we get a palindrome (44365222256344).

The spelling of 13353011221013 in words is "thirteen trillion, three hundred fifty-three billion, eleven million, two hundred twenty-one thousand, thirteen".