13020800 has 96 divisors (see below), whose sum is σ = 34750380. Its totient is φ = 4792320.

The previous prime is 13020779. The next prime is 13020803. The reversal of 13020800 is 802031.

It can be written as a sum of positive squares in 6 ways, for example, as 118336 + 12902464 = 344^2 + 3592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020803) 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, 41444 + ... + 41756.

Almost surely, 2^13020800 is an apocalyptic number.

13020800 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 13020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375190).

13020800 is an abundant number, since it is smaller than the sum of its proper divisors (21729580).

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

13020800 is a wasteful number, since it uses less digits than its factorization.

13020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13020800 is about 3608.4345636301. The cubic root of 13020800 is about 235.2588064657.

Adding to 13020800 its reverse (802031), we get a palindrome (13822831).

The spelling of 13020800 in words is "thirteen million, twenty thousand, eight hundred".