1020440100133 has 2 divisors, whose sum is σ = 1020440100134. Its totient is φ = 1020440100132.

The previous prime is 1020440100083. The next prime is 1020440100247. The reversal of 1020440100133 is 3310010440201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 733623084324 + 286817015809 = 856518^2 + 535553^2 .

It is an emirp because it is prime and its reverse (3310010440201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020440100133 - 2³⁷ = 883001146661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020440100133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020440101133) 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, 510220050066 + 510220050067.

It is an arithmetic number, because the mean of its divisors is an integer number (510220050067).

Almost surely, 2^{1020440100133} is an apocalyptic number.

It is an amenable number.

1020440100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020440100133 is an equidigital number, since it uses as much as digits as its factorization.

1020440100133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1020440100133 its reverse (3310010440201), we get a palindrome (4330450540334).

The spelling of 1020440100133 in words is "one trillion, twenty billion, four hundred forty million, one hundred thousand, one hundred thirty-three".