1001313221 has 2 divisors, whose sum is σ = 1001313222. Its totient is φ = 1001313220.

The previous prime is 1001313199. The next prime is 1001313233. The reversal of 1001313221 is 1223131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 930921121 + 70392100 = 30511^2 + 8390^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001313221 - 2¹⁰ = 1001312197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001313196 and 1001313205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001313241) 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, 500656610 + 500656611.

It is an arithmetic number, because the mean of its divisors is an integer number (500656611).

Almost surely, 2^1001313221 is an apocalyptic number.

It is an amenable number.

1001313221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001313221 is an equidigital number, since it uses as much as digits as its factorization.

1001313221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1001313221 is about 31643.5336364319. The cubic root of 1001313221 is about 1000.4375488564.

Adding to 1001313221 its reverse (1223131001), we get a palindrome (2224444222).

The spelling of 1001313221 in words is "one billion, one million, three hundred thirteen thousand, two hundred twenty-one".