1004123234013 has 32 divisors (see below), whose sum is σ = 1422045072000. Its totient is φ = 628057214976.

The previous prime is 1004123233991. The next prime is 1004123234021. The reversal of 1004123234013 is 3104323214001.

It is a happy number.

It is not a de Polignac number, because 1004123234013 - 2¹² = 1004123229917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004123234033) 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 in 31 ways as a sum of consecutive naturals, for example, 97586773 + ... + 97597061.

It is an arithmetic number, because the mean of its divisors is an integer number (44438908500).

Almost surely, 2^{1004123234013} is an apocalyptic number.

It is an amenable number.

1004123234013 is a deficient number, since it is larger than the sum of its proper divisors (417921837987).

1004123234013 is a wasteful number, since it uses less digits than its factorization.

1004123234013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16141.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1004123234013 its reverse (3104323214001), we get a palindrome (4108446448014).

The spelling of 1004123234013 in words is "one trillion, four billion, one hundred twenty-three million, two hundred thirty-four thousand, thirteen".