13042800 has 90 divisors (see below), whose sum is σ = 45274632. Its totient is φ = 3477120.

The previous prime is 13042789. The next prime is 13042807. The reversal of 13042800 is 824031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×13042800² = 340229263680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042807) 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, 1789 + ... + 5411.

Almost surely, 2^13042800 is an apocalyptic number.

13042800 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 13042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22637316).

13042800 is an abundant number, since it is smaller than the sum of its proper divisors (32231832).

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

13042800 is a wasteful number, since it uses less digits than its factorization.

13042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13042800 is about 3611.4816903869. The cubic root of 13042800 is about 235.3912300116.

Adding to 13042800 its reverse (824031), we get a palindrome (13866831).

The spelling of 13042800 in words is "thirteen million, forty-two thousand, eight hundred".