2013121300 has 72 divisors (see below), whose sum is σ = 4704073920. Its totient is φ = 744998400.

The previous prime is 2013121289. The next prime is 2013121337. The reversal of 2013121300 is 31213102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90265 + ... + 110335.

It is an arithmetic number, because the mean of its divisors is an integer number (65334360).

Almost surely, 2^2013121300 is an apocalyptic number.

2013121300 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 2013121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352036960).

2013121300 is an abundant number, since it is smaller than the sum of its proper divisors (2690952620).

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

2013121300 is a wasteful number, since it uses less digits than its factorization.

2013121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20161 (or 20154 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013121300 is about 44867.8203170156. The cubic root of 2013121300 is about 1262.6703465861.

Adding to 2013121300 its reverse (31213102), we get a palindrome (2044334402).

The spelling of 2013121300 in words is "two billion, thirteen million, one hundred twenty-one thousand, three hundred".