2013012300 has 72 divisors (see below), whose sum is σ = 6272352016. Its totient is φ = 495509760.

The previous prime is 2013012289. The next prime is 2013012307. The reversal of 2013012300 is 32103102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2013012307) 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, 254179 + ... + 261978.

Almost surely, 2^2013012300 is an apocalyptic number.

2013012300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013012300 is an abundant number, since it is smaller than the sum of its proper divisors (4259339716).

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

2013012300 is a wasteful number, since it uses less digits than its factorization.

2013012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516187 (or 516180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013012300 is about 44866.6056215533. The cubic root of 2013012300 is about 1262.6475571741.

Adding to 2013012300 its reverse (32103102), we get a palindrome (2045115402).

The spelling of 2013012300 in words is "two billion, thirteen million, twelve thousand, three hundred".