1011003110321 has 2 divisors, whose sum is σ = 1011003110322. Its totient is φ = 1011003110320.

The previous prime is 1011003110309. The next prime is 1011003110477. The reversal of 1011003110321 is 1230113001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 924605326096 + 86397784225 = 961564^2 + 293935^2 .

It is an emirp because it is prime and its reverse (1230113001101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011003110321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011003110296 and 1011003110305.

It is not a weakly prime, because it can be changed into another prime (1011003110521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505501555160 + 505501555161.

It is an arithmetic number, because the mean of its divisors is an integer number (505501555161).

Almost surely, 2^{1011003110321} is an apocalyptic number.

It is an amenable number.

1011003110321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011003110321 is an equidigital number, since it uses as much as digits as its factorization.

1011003110321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1011003110321 its reverse (1230113001101), we get a palindrome (2241116111422).

The spelling of 1011003110321 in words is "one trillion, eleven billion, three million, one hundred ten thousand, three hundred twenty-one".