2013012000 has 576 divisors, whose sum is σ = 7870262400. Its totient is φ = 503884800.

The previous prime is 2013011999. The next prime is 2013012059. The reversal of 2013012000 is 2103102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18467946 + ... + 18468054.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 2^2013012000 is an apocalyptic number.

2013012000 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 2013012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935131200).

2013012000 is an abundant number, since it is smaller than the sum of its proper divisors (5857250400).

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

2013012000 is a wasteful number, since it uses less digits than its factorization.

2013012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

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

The square root of 2013012000 is about 44866.6022783094. The cubic root of 2013012000 is about 1262.6474944498.

Adding to 2013012000 its reverse (2103102), we get a palindrome (2015115102).

The spelling of 2013012000 in words is "two billion, thirteen million, twelve thousand".