13202016 has 48 divisors (see below), whose sum is σ = 34990704. Its totient is φ = 4358144.

The previous prime is 13202011. The next prime is 13202029. The reversal of 13202016 is 61020231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13201986 and 13202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10240 + ... + 11456.

It is an arithmetic number, because the mean of its divisors is an integer number (728973).

Almost surely, 2^13202016 is an apocalyptic number.

13202016 is a gapful number since it is divisible by the number (16) 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 13202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495352).

13202016 is an abundant number, since it is smaller than the sum of its proper divisors (21788688).

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

13202016 is a wasteful number, since it uses less digits than its factorization.

13202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

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

The square root of 13202016 is about 3633.4578571933. The cubic root of 13202016 is about 236.3451809869.

Adding to 13202016 its reverse (61020231), we get a palindrome (74222247).

The spelling of 13202016 in words is "thirteen million, two hundred two thousand, sixteen".