2013030031200 has 288 divisors, whose sum is σ = 6668823168000. Its totient is φ = 527339704320.

The previous prime is 2013030031151. The next prime is 2013030031219. The reversal of 2013030031200 is 21300303102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013030031200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37703724 + ... + 37757076.

It is an arithmetic number, because the mean of its divisors is an integer number (23155636000).

Almost surely, 2^{2013030031200} is an apocalyptic number.

2013030031200 is a gapful number since it is divisible by the number (20) 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 2013030031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334411584000).

2013030031200 is an abundant number, since it is smaller than the sum of its proper divisors (4655793136800).

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

2013030031200 is a wasteful number, since it uses less digits than its factorization.

2013030031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53654 (or 53641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2013030031200 its reverse (21300303102), we get a palindrome (2034330334302).

The spelling of 2013030031200 in words is "two trillion, thirteen billion, thirty million, thirty-one thousand, two hundred".