1000311321221 has 2 divisors, whose sum is σ = 1000311321222. Its totient is φ = 1000311321220.

The previous prime is 1000311321199. The next prime is 1000311321227. The reversal of 1000311321221 is 1221231130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 620769076321 + 379542244900 = 787889^2 + 616070^2 .

It is an emirp because it is prime and its reverse (1221231130001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000311321221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000311321221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000311321227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500155660610 + 500155660611.

It is an arithmetic number, because the mean of its divisors is an integer number (500155660611).

Almost surely, 2^{1000311321221} is an apocalyptic number.

It is an amenable number.

1000311321221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000311321221 is an equidigital number, since it uses as much as digits as its factorization.

1000311321221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1000311321221 its reverse (1221231130001), we get a palindrome (2221542451222).

The spelling of 1000311321221 in words is "one trillion, three hundred eleven million, three hundred twenty-one thousand, two hundred twenty-one".