2013102300 has 72 divisors (see below), whose sum is σ = 6354093312. Its totient is φ = 488024000.

The previous prime is 2013102293. The next prime is 2013102313. The reversal of 2013102300 is 32013102.

It is a happy number.

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

It is a congruent number.

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, 301716 + ... + 308315.

It is an arithmetic number, because the mean of its divisors is an integer number (88251296).

Almost surely, 2^2013102300 is an apocalyptic number.

2013102300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013102300 is an abundant number, since it is smaller than the sum of its proper divisors (4340991012).

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

2013102300 is a wasteful number, since it uses less digits than its factorization.

2013102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610059 (or 610052 counting only the distinct ones).

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

The square root of 2013102300 is about 44867.6085834759. The cubic root of 2013102300 is about 1262.6663741790. Note that the first 3 decimals are identical.

Adding to 2013102300 its reverse (32013102), we get a palindrome (2045115402).

The spelling of 2013102300 in words is "two billion, thirteen million, one hundred two thousand, three hundred".