1010441404013 has 16 divisors (see below), whose sum is σ = 1089891546240. Its totient is φ = 933632179200.

The previous prime is 1010441403911. The next prime is 1010441404079. The reversal of 1010441404013 is 3104041440101.

It is a cyclic number.

It is not a de Polignac number, because 1010441404013 - 2¹⁰ = 1010441402989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010441404013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010441407013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425256 + ... + 2811182.

It is an arithmetic number, because the mean of its divisors is an integer number (68118221640).

Almost surely, 2^{1010441404013} is an apocalyptic number.

It is an amenable number.

1010441404013 is a deficient number, since it is larger than the sum of its proper divisors (79450142227).

1010441404013 is a wasteful number, since it uses less digits than its factorization.

1010441404013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389348.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1010441404013 its reverse (3104041440101), we get a palindrome (4114482844114).

The spelling of 1010441404013 in words is "one trillion, ten billion, four hundred forty-one million, four hundred four thousand, thirteen".