2013023012 has 96 divisors (see below), whose sum is σ = 4751115264. Its totient is φ = 720720000.

The previous prime is 2013023011. The next prime is 2013023017. The reversal of 2013023012 is 2103203102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2013023011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004003 + ... + 1006005.

It is an arithmetic number, because the mean of its divisors is an integer number (49490784).

Almost surely, 2^2013023012 is an apocalyptic number.

2013023012 is a gapful number since it is divisible by the number (22) 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 2013023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375557632).

2013023012 is an abundant number, since it is smaller than the sum of its proper divisors (2738092252).

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

2013023012 is a wasteful number, since it uses less digits than its factorization.

2013023012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2013023012 is about 44866.7249974856. The cubic root of 2013023012 is about 1262.6497968452.

Adding to 2013023012 its reverse (2103203102), we get a palindrome (4116226114).

The spelling of 2013023012 in words is "two billion, thirteen million, twenty-three thousand, twelve".