1321305833 has 2 divisors, whose sum is σ = 1321305834. Its totient is φ = 1321305832.

The previous prime is 1321305823. The next prime is 1321305907. The reversal of 1321305833 is 3385031231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 670188544 + 651117289 = 25888^2 + 25517^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321305833 - 2²² = 1317111529 is a prime.

It is a super-3 number, since 3×1321305833³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1321305796 and 1321305805.

It is not a weakly prime, because it can be changed into another prime (1321305803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660652916 + 660652917.

It is an arithmetic number, because the mean of its divisors is an integer number (660652917).

Almost surely, 2^1321305833 is an apocalyptic number.

It is an amenable number.

1321305833 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321305833 is an equidigital number, since it uses as much as digits as its factorization.

1321305833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1321305833 is about 36349.7707420556. The cubic root of 1321305833 is about 1097.3229206331.

The spelling of 1321305833 in words is "one billion, three hundred twenty-one million, three hundred five thousand, eight hundred thirty-three".