1013001330012 has 192 divisors, whose sum is σ = 2795315712000. Its totient is φ = 279554001408.

The previous prime is 1013001329999. The next prime is 1013001330031. The reversal of 1013001330012 is 2100331003101.

It is a junction number, because it is equal to n+sod(n) for n = 1013001329973 and 1013001330000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135805539 + ... + 135812997.

It is an arithmetic number, because the mean of its divisors is an integer number (14558936000).

Almost surely, 2^{1013001330012} is an apocalyptic number.

1013001330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013001330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397657856000).

1013001330012 is an abundant number, since it is smaller than the sum of its proper divisors (1782314381988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013001330012 is a wasteful number, since it uses less digits than its factorization.

1013001330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013001330012 its reverse (2100331003101), we get a palindrome (3113332333113).

The spelling of 1013001330012 in words is "one trillion, thirteen billion, one million, three hundred thirty thousand, twelve".