1010404434013 has 8 divisors (see below), whose sum is σ = 1088532548600. Its totient is φ = 932334133248.

The previous prime is 1010404433953. The next prime is 1010404434037. The reversal of 1010404434013 is 3104344040101.

It can be written as a sum of positive squares in 4 ways, for example, as 219973194169 + 790431239844 = 469013^2 + 889062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010404434013 - 2⁹ = 1010404433501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010404432013) 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 in 7 ways as a sum of consecutive naturals, for example, 14417148 + ... + 14487061.

It is an arithmetic number, because the mean of its divisors is an integer number (136066568575).

Almost surely, 2^{1010404434013} is an apocalyptic number.

1010404434013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010404434013 is a deficient number, since it is larger than the sum of its proper divisors (78128114587).

1010404434013 is a wasteful number, since it uses less digits than its factorization.

1010404434013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28906911.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1010404434013 its reverse (3104344040101), we get a palindrome (4114748474114).

The spelling of 1010404434013 in words is "one trillion, ten billion, four hundred four million, four hundred thirty-four thousand, thirteen".