1020111311321 has 2 divisors, whose sum is σ = 1020111311322. Its totient is φ = 1020111311320.

The previous prime is 1020111311287. The next prime is 1020111311333. The reversal of 1020111311321 is 1231131110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988990470400 + 31120840921 = 994480^2 + 176411^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020111311321 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 1020111311321.

It is not a weakly prime, because it can be changed into another prime (1020111311381) 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, 510055655660 + 510055655661.

It is an arithmetic number, because the mean of its divisors is an integer number (510055655661).

Almost surely, 2^{1020111311321} is an apocalyptic number.

It is an amenable number.

1020111311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020111311321 is an equidigital number, since it uses as much as digits as its factorization.

1020111311321 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 17.

Adding to 1020111311321 its reverse (1231131110201), we get a palindrome (2251242421522).

The spelling of 1020111311321 in words is "one trillion, twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred twenty-one".