2013300 has 54 divisors (see below), whose sum is σ = 6313398. Its totient is φ = 536640.

The previous prime is 2013299. The next prime is 2013301. The reversal of 2013300 is 33102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013299) and next prime (2013301).

It can be written as a sum of positive squares in 3 ways, for example, as 318096 + 1695204 = 564^2 + 1302^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 219 + ... + 2018.

2^2013300 is an apocalyptic number.

2013300 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 2013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156699).

2013300 is an abundant number, since it is smaller than the sum of its proper divisors (4300098).

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

2013300 is a wasteful number, since it uses less digits than its factorization.

2013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2013300 is about 1418.9080308463. The cubic root of 2013300 is about 126.2707706897.

Adding to 2013300 its reverse (33102), we get a palindrome (2046402).

The spelling of 2013300 in words is "two million, thirteen thousand, three hundred".