13014800 has 30 divisors (see below), whose sum is σ = 31269018. Its totient is φ = 5205760.

The previous prime is 13014779. The next prime is 13014821. The reversal of 13014800 is 841031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13014779) and next prime (13014821).

It can be written as a sum of positive squares in 3 ways, for example, as 169744 + 12845056 = 412^2 + 3584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15869 + ... + 16668.

Almost surely, 2^13014800 is an apocalyptic number.

13014800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014800 is an abundant number, since it is smaller than the sum of its proper divisors (18254218).

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

13014800 is a wasteful number, since it uses less digits than its factorization.

13014800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32555 (or 32544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13014800 is about 3607.6030823803. The cubic root of 13014800 is about 235.2226650687. Note that the first 3 decimals are identical.

Adding to 13014800 its reverse (841031), we get a palindrome (13855831).

The spelling of 13014800 in words is "thirteen million, fourteen thousand, eight hundred".