1001315321 has 2 divisors, whose sum is σ = 1001315322. Its totient is φ = 1001315320.

The previous prime is 1001315303. The next prime is 1001315339. The reversal of 1001315321 is 1235131001.

It is a balanced prime because it is at equal distance from previous prime (1001315303) and next prime (1001315339).

It can be written as a sum of positive squares in only one way, i.e., 615585721 + 385729600 = 24811^2 + 19640^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001315321 - 2¹⁴ = 1001298937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001315321.

It is not a weakly prime, because it can be changed into another prime (1001315621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500657660 + 500657661.

It is an arithmetic number, because the mean of its divisors is an integer number (500657661).

Almost surely, 2^1001315321 is an apocalyptic number.

It is an amenable number.

1001315321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001315321 is an equidigital number, since it uses as much as digits as its factorization.

1001315321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1001315321 is about 31643.5668185494. The cubic root of 1001315321 is about 1000.4382482438.

Adding to 1001315321 its reverse (1235131001), we get a palindrome (2236446322).

The spelling of 1001315321 in words is "one billion, one million, three hundred fifteen thousand, three hundred twenty-one".