13121121312193 has 2 divisors, whose sum is σ = 13121121312194. Its totient is φ = 13121121312192.

The previous prime is 13121121312179. The next prime is 13121121312253. The reversal of 13121121312193 is 39121312112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13105609107889 + 15512204304 = 3620167^2 + 124548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13121121312193 is a prime.

It is not a weakly prime, because it can be changed into another prime (13121121312113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560560656096 + 6560560656097.

It is an arithmetic number, because the mean of its divisors is an integer number (6560560656097).

Almost surely, 2^{13121121312193} is an apocalyptic number.

It is an amenable number.

13121121312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121121312193 is an equidigital number, since it uses as much as digits as its factorization.

13121121312193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 31.

The spelling of 13121121312193 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred twelve thousand, one hundred ninety-three".