2013120000 has 400 divisors, whose sum is σ = 7478293680. Its totient is φ = 534528000.

The previous prime is 2013119971. The next prime is 2013120007. The reversal of 2013120000 is 213102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639884 + ... + 8640116.

Almost surely, 2^2013120000 is an apocalyptic number.

2013120000 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 2013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739146840).

2013120000 is an abundant number, since it is smaller than the sum of its proper divisors (5465173680).

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

2013120000 is an frugal number, since it uses more digits than its factorization.

2013120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2013120000 is about 44867.8058300158. The cubic root of 2013120000 is about 1262.6700747906.

Adding to 2013120000 its reverse (213102), we get a palindrome (2013333102).

The spelling of 2013120000 in words is "two billion, thirteen million, one hundred twenty thousand".