2013100 has 36 divisors (see below), whose sum is σ = 4484088. Its totient is φ = 784000.

The previous prime is 2013083. The next prime is 2013101. The reversal of 2013100 is 13102.

It is a super-2 number, since 2×2013100² = 8105143220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3855 + ... + 4345.

It is an arithmetic number, because the mean of its divisors is an integer number (124558).

2^2013100 is an apocalyptic number.

2013100 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 2013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242044).

2013100 is an abundant number, since it is smaller than the sum of its proper divisors (2470988).

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

2013100 is a wasteful number, since it uses less digits than its factorization.

2013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2013100 is about 1418.8375523646. The cubic root of 2013100 is about 126.2665893307.

Adding to 2013100 its reverse (13102), we get a palindrome (2026202).

The spelling of 2013100 in words is "two million, thirteen thousand, one hundred".