1144101003329 has 2 divisors, whose sum is σ = 1144101003330. Its totient is φ = 1144101003328.

The previous prime is 1144101003223. The next prime is 1144101003371. The reversal of 1144101003329 is 9233001014411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995309513104 + 148791490225 = 997652^2 + 385735^2 .

It is a cyclic number.

It is not a de Polignac number, because 1144101003329 - 2²⁴ = 1144084226113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1144101003029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 572050501664 + 572050501665.

It is an arithmetic number, because the mean of its divisors is an integer number (572050501665).

Almost surely, 2^{1144101003329} is an apocalyptic number.

It is an amenable number.

1144101003329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1144101003329 is an equidigital number, since it uses as much as digits as its factorization.

1144101003329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1144101003329 in words is "one trillion, one hundred forty-four billion, one hundred one million, three thousand, three hundred twenty-nine".