13164430271521 has 2 divisors, whose sum is σ = 13164430271522. Its totient is φ = 13164430271520.

The previous prime is 13164430271497. The next prime is 13164430271561. The reversal of 13164430271521 is 12517203446131.

It is an a-pointer prime, because the next prime (13164430271561) can be obtained adding 13164430271521 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10823040645921 + 2341389625600 = 3289839^2 + 1530160^2 .

It is a cyclic number.

It is not a de Polignac number, because 13164430271521 - 2⁹ = 13164430271009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13164430271561) 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, 6582215135760 + 6582215135761.

It is an arithmetic number, because the mean of its divisors is an integer number (6582215135761).

Almost surely, 2^{13164430271521} is an apocalyptic number.

It is an amenable number.

13164430271521 is a deficient number, since it is larger than the sum of its proper divisors (1).

13164430271521 is an equidigital number, since it uses as much as digits as its factorization.

13164430271521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13164430271521 in words is "thirteen trillion, one hundred sixty-four billion, four hundred thirty million, two hundred seventy-one thousand, five hundred twenty-one".