13040200 has 48 divisors (see below), whose sum is σ = 30639780. Its totient is φ = 5160960.

The previous prime is 13040189. The next prime is 13040219. The reversal of 13040200 is 204031.

13040200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5008644 + 8031556 = 2238^2 + 2834^2 .

It is a super-3 number, since 3×13040200³ (a number of 22 digits) contains 333 as substring.

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

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, 22312 + ... + 22888.

Almost surely, 2^13040200 is an apocalyptic number.

13040200 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 13040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319890).

13040200 is an abundant number, since it is smaller than the sum of its proper divisors (17599580).

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

13040200 is a wasteful number, since it uses less digits than its factorization.

13040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13040200 is about 3611.1217093862. The cubic root of 13040200 is about 235.3755877193.

Adding to 13040200 its reverse (204031), we get a palindrome (13244231).

The spelling of 13040200 in words is "thirteen million, forty thousand, two hundred".