13413000 has 128 divisors (see below), whose sum is σ = 44478720. Its totient is φ = 3353600.

The previous prime is 13412999. The next prime is 13413047. The reversal of 13413000 is 31431.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50869 + ... + 51131.

It is an arithmetic number, because the mean of its divisors is an integer number (347490).

Almost surely, 2^13413000 is an apocalyptic number.

13413000 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 13413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

13413000 is an abundant number, since it is smaller than the sum of its proper divisors (31065720).

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

13413000 is a wasteful number, since it uses less digits than its factorization.

13413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13413000 is about 3662.3762777738. The cubic root of 13413000 is about 237.5975591809.

Adding to 13413000 its reverse (31431), we get a palindrome (13444431).

The spelling of 13413000 in words is "thirteen million, four hundred thirteen thousand".