13201467462097 has 2 divisors, whose sum is σ = 13201467462098. Its totient is φ = 13201467462096.

The previous prime is 13201467462059. The next prime is 13201467462149. The reversal of 13201467462097 is 79026476410231.

It is a happy number.

It is an a-pointer prime, because the next prime (13201467462149) can be obtained adding 13201467462097 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13004793838656 + 196673623441 = 3606216^2 + 443479^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201467462097 - 2³⁹ = 12651711648209 is a prime.

It is a super-2 number, since 2×13201467462097² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13201467462017) 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, 6600733731048 + 6600733731049.

It is an arithmetic number, because the mean of its divisors is an integer number (6600733731049).

Almost surely, 2^{13201467462097} is an apocalyptic number.

It is an amenable number.

13201467462097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201467462097 is an equidigital number, since it uses as much as digits as its factorization.

13201467462097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 13201467462097 in words is "thirteen trillion, two hundred one billion, four hundred sixty-seven million, four hundred sixty-two thousand, ninety-seven".