1013200 has 60 divisors (see below), whose sum is σ = 2594700. Its totient is φ = 378880.

The previous prime is 1013197. The next prime is 1013203. The reversal of 1013200 is 23101.

1013200 = T₁₈₁ + T₁₈₂ + ... + T₂₂₈.

It is an interprime number because it is at equal distance from previous prime (1013197) and next prime (1013203).

It can be written as a sum of positive squares in 6 ways, for example, as 44944 + 968256 = 212^2 + 984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013203) 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, 6726 + ... + 6874.

It is an arithmetic number, because the mean of its divisors is an integer number (43245).

2^1013200 is an apocalyptic number.

1013200 is a gapful number since it is divisible by the number (10) 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 1013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297350).

1013200 is an abundant number, since it is smaller than the sum of its proper divisors (1581500).

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

1013200 is a wasteful number, since it uses less digits than its factorization.

1013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

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

The square root of 1013200 is about 1006.5783625729. The cubic root of 1013200 is about 100.4380780736.

Adding to 1013200 its reverse (23101), we get a palindrome (1036301).

Subtracting from 1013200 its reverse (23101), we obtain a palindrome (990099).

The spelling of 1013200 in words is "one million, thirteen thousand, two hundred".