1321322101193 has 2 divisors, whose sum is σ = 1321322101194. Its totient is φ = 1321322101192.

The previous prime is 1321322101087. The next prime is 1321322101213. The reversal of 1321322101193 is 3911012231231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1255045202944 + 66276898249 = 1120288^2 + 257443^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321322101193 - 2²⁴ = 1321305323977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1321322101793) 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, 660661050596 + 660661050597.

It is an arithmetic number, because the mean of its divisors is an integer number (660661050597).

Almost surely, 2^{1321322101193} is an apocalyptic number.

It is an amenable number.

1321322101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321322101193 is an equidigital number, since it uses as much as digits as its factorization.

1321322101193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 1321322101193 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-two million, one hundred one thousand, one hundred ninety-three".