13016400 has 60 divisors (see below), whose sum is σ = 41699712. Its totient is φ = 3470720.

The previous prime is 13016371. The next prime is 13016431. The reversal of 13016400 is 461031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13016400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4224 + ... + 6623.

Almost surely, 2^13016400 is an apocalyptic number.

13016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13016400 is an abundant number, since it is smaller than the sum of its proper divisors (28683312).

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

13016400 is a wasteful number, since it uses less digits than its factorization.

13016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13016400 is about 3607.8248294506. The cubic root of 13016400 is about 235.2323038604.

Adding to 13016400 its reverse (461031), we get a palindrome (13477431).

The spelling of 13016400 in words is "thirteen million, sixteen thousand, four hundred".