13332113340097 has 2 divisors, whose sum is σ = 13332113340098. Its totient is φ = 13332113340096.

The previous prime is 13332113339959. The next prime is 13332113340137. The reversal of 13332113340097 is 79004331123331.

It is an a-pointer prime, because the next prime (13332113340137) can be obtained adding 13332113340097 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13185584390416 + 146528949681 = 3631196^2 + 382791^2 .

It is a cyclic number.

It is not a de Polignac number, because 13332113340097 - 2¹⁵ = 13332113307329 is a prime.

It is a super-2 number, since 2×13332113340097² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13332113340197) 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, 6666056670048 + 6666056670049.

It is an arithmetic number, because the mean of its divisors is an integer number (6666056670049).

Almost surely, 2^{13332113340097} is an apocalyptic number.

It is an amenable number.

13332113340097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332113340097 is an equidigital number, since it uses as much as digits as its factorization.

13332113340097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 40.

The spelling of 13332113340097 in words is "thirteen trillion, three hundred thirty-two billion, one hundred thirteen million, three hundred forty thousand, ninety-seven".