1031321321 has 2 divisors, whose sum is σ = 1031321322. Its totient is φ = 1031321320.

The previous prime is 1031321309. The next prime is 1031321323. The reversal of 1031321321 is 1231231301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988222096 + 43099225 = 31436^2 + 6565^2 .

It is an emirp because it is prime and its reverse (1231231301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031321321 - 2¹⁸ = 1031059177 is a prime.

Together with 1031321323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1031321321.

It is not a weakly prime, because it can be changed into another prime (1031321323) 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, 515660660 + 515660661.

It is an arithmetic number, because the mean of its divisors is an integer number (515660661).

Almost surely, 2^1031321321 is an apocalyptic number.

It is an amenable number.

1031321321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031321321 is an equidigital number, since it uses as much as digits as its factorization.

1031321321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1031321321 is about 32114.1918939275. The cubic root of 1031321321 is about 1010.3332955503. Note that the first 3 decimals are identical.

Adding to 1031321321 its reverse (1231231301), we get a palindrome (2262552622).

The spelling of 1031321321 in words is "one billion, thirty-one million, three hundred twenty-one thousand, three hundred twenty-one".