2013010100 has 36 divisors (see below), whose sum is σ = 4598143200. Its totient is φ = 762824160.

The previous prime is 2013010091. The next prime is 2013010177. The reversal of 2013010100 is 10103102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527840 + ... + 531639.

It is an arithmetic number, because the mean of its divisors is an integer number (127726200).

Almost surely, 2^2013010100 is an apocalyptic number.

2013010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013010100 is an abundant number, since it is smaller than the sum of its proper divisors (2585133100).

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

2013010100 is a wasteful number, since it uses less digits than its factorization.

2013010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059512 (or 1059505 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2013010100 is about 44866.5811044256. The cubic root of 2013010100 is about 1262.6470971958.

Adding to 2013010100 its reverse (10103102), we get a palindrome (2023113202).

The spelling of 2013010100 in words is "two billion, thirteen million, ten thousand, one hundred".