13162016 has 48 divisors (see below), whose sum is σ = 30090816. Its totient is φ = 5550336.

The previous prime is 13161991. The next prime is 13162043. The reversal of 13162016 is 61026131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14570 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (626892).

Almost surely, 2^13162016 is an apocalyptic number.

13162016 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 13162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045408).

13162016 is an abundant number, since it is smaller than the sum of its proper divisors (16928800).

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

13162016 is an equidigital number, since it uses as much as digits as its factorization.

13162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13162016 is about 3627.9492829972. The cubic root of 13162016 is about 236.1062434593.

Adding to 13162016 its reverse (61026131), we get a palindrome (74188147).

It can be divided in two parts, 1316 and 2016, that multiplied together give a triangular number (2653056 = T₂₃₀₃).

The spelling of 13162016 in words is "thirteen million, one hundred sixty-two thousand, sixteen".