2013142800 has 120 divisors (see below), whose sum is σ = 6508353280. Its totient is φ = 531878400.

The previous prime is 2013142787. The next prime is 2013142811. The reversal of 2013142800 is 82413102.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123105 + ... + 138495.

Almost surely, 2^2013142800 is an apocalyptic number.

2013142800 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 2013142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254176640).

2013142800 is an abundant number, since it is smaller than the sum of its proper divisors (4495210480).

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

2013142800 is a wasteful number, since it uses less digits than its factorization.

2013142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15521 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2013142800 is about 44868.0599090266. The cubic root of 2013142800 is about 1262.6748416482.

Adding to 2013142800 its reverse (82413102), we get a palindrome (2095555902).

The spelling of 2013142800 in words is "two billion, thirteen million, one hundred forty-two thousand, eight hundred".