2013012400 has 120 divisors (see below), whose sum is σ = 5579642880. Its totient is φ = 683623680.

The previous prime is 2013012329. The next prime is 2013012401. The reversal of 2013012400 is 42103102.

It is not an unprimeable number, because it can be changed into a prime (2013012401) 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 23 ways as a sum of consecutive naturals, for example, 296241 + ... + 302959.

It is an arithmetic number, because the mean of its divisors is an integer number (46497024).

Almost surely, 2^2013012400 is an apocalyptic number.

2013012400 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 2013012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789821440).

2013012400 is an abundant number, since it is smaller than the sum of its proper divisors (3566630480).

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

2013012400 is a wasteful number, since it uses less digits than its factorization.

2013012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2013012400 is about 44866.6067359679. The cubic root of 2013012400 is about 1262.6475780822.

Adding to 2013012400 its reverse (42103102), we get a palindrome (2055115502).

The spelling of 2013012400 in words is "two billion, thirteen million, twelve thousand, four hundred".