2013033021312 has 128 divisors (see below), whose sum is σ = 5699152569600. Its totient is φ = 627357081600.

The previous prime is 2013033021289. The next prime is 2013033021341. The reversal of 2013033021312 is 2131203303102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35362 + ... + 2006817.

It is an arithmetic number, because the mean of its divisors is an integer number (44524629450).

Almost surely, 2^{2013033021312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013033021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849576284800).

2013033021312 is an abundant number, since it is smaller than the sum of its proper divisors (3686119548288).

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

2013033021312 is a wasteful number, since it uses less digits than its factorization.

2013033021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042364 (or 2042352 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2013033021312 its reverse (2131203303102), we get a palindrome (4144236324414).

The spelling of 2013033021312 in words is "two trillion, thirteen billion, thirty-three million, twenty-one thousand, three hundred twelve".