2013100120 has 64 divisors (see below), whose sum is σ = 4598467200. Its totient is φ = 793029120.

The previous prime is 2013100087. The next prime is 2013100121. The reversal of 2013100120 is 210013102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2013100097 and 2013100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138850 + ... + 2139790.

It is an arithmetic number, because the mean of its divisors is an integer number (71851050).

Almost surely, 2^2013100120 is an apocalyptic number.

2013100120 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 2013100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299233600).

2013100120 is an abundant number, since it is smaller than the sum of its proper divisors (2585367080).

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

2013100120 is a wasteful number, since it uses less digits than its factorization.

2013100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2013100120 is about 44867.5842897743. The cubic root of 2013100120 is about 1262.6659183959.

Adding to 2013100120 its reverse (210013102), we get a palindrome (2223113222).

The spelling of 2013100120 in words is "two billion, thirteen million, one hundred thousand, one hundred twenty".