1321057121 has 2 divisors, whose sum is σ = 1321057122. Its totient is φ = 1321057120.

The previous prime is 1321057103. The next prime is 1321057193. The reversal of 1321057121 is 1217501231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 981944896 + 339112225 = 31336^2 + 18415^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321057121 - 2¹⁰ = 1321056097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1321057021) 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, 660528560 + 660528561.

It is an arithmetic number, because the mean of its divisors is an integer number (660528561).

Almost surely, 2^1321057121 is an apocalyptic number.

It is an amenable number.

1321057121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321057121 is an equidigital number, since it uses as much as digits as its factorization.

1321057121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1321057121 is about 36346.3494865716. The cubic root of 1321057121 is about 1097.2540658943.

Adding to 1321057121 its reverse (1217501231), we get a palindrome (2538558352).

The spelling of 1321057121 in words is "one billion, three hundred twenty-one million, fifty-seven thousand, one hundred twenty-one".