1021001300013 has 16 divisors (see below), whose sum is σ = 1438693401600. Its totient is φ = 642273822000.

The previous prime is 1021001300009. The next prime is 1021001300093. The reversal of 1021001300013 is 3100031001201.

It is not a de Polignac number, because 1021001300013 - 2² = 1021001300009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021001300093) 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 15 ways as a sum of consecutive naturals, for example, 35667573 + ... + 35696186.

It is an arithmetic number, because the mean of its divisors is an integer number (89918337600).

Almost surely, 2^{1021001300013} is an apocalyptic number.

It is an amenable number.

1021001300013 is a deficient number, since it is larger than the sum of its proper divisors (417692101587).

1021001300013 is a wasteful number, since it uses less digits than its factorization.

1021001300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71364032.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1021001300013 its reverse (3100031001201), we get a palindrome (4121032301214).

The spelling of 1021001300013 in words is "one trillion, twenty-one billion, one million, three hundred thousand, thirteen".