1014112804321 has 2 divisors, whose sum is σ = 1014112804322. Its totient is φ = 1014112804320.

The previous prime is 1014112804163. The next prime is 1014112804379. The reversal of 1014112804321 is 1234082114101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 969407622225 + 44705182096 = 984585^2 + 211436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014112804321 - 2¹⁹ = 1014112280033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1014112804321.

It is not a weakly prime, because it can be changed into another prime (1014112804381) 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, 507056402160 + 507056402161.

It is an arithmetic number, because the mean of its divisors is an integer number (507056402161).

Almost surely, 2^{1014112804321} is an apocalyptic number.

It is an amenable number.

1014112804321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014112804321 is an equidigital number, since it uses as much as digits as its factorization.

1014112804321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 1014112804321 its reverse (1234082114101), we get a palindrome (2248194918422).

The spelling of 1014112804321 in words is "one trillion, fourteen billion, one hundred twelve million, eight hundred four thousand, three hundred twenty-one".