13001016 has 64 divisors (see below), whose sum is σ = 39110400. Its totient is φ = 3518208.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001016 is 61010031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13000992 and 13001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (611100).

Almost surely, 2^13001016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19555200).

13001016 is an abundant number, since it is smaller than the sum of its proper divisors (26109384).

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

13001016 is a wasteful number, since it uses less digits than its factorization.

13001016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13001016 is about 3605.6921665611. The cubic root of 13001016 is about 235.1395941408.

Adding to 13001016 its reverse (61010031), we get a palindrome (74011047).

The spelling of 13001016 in words is "thirteen million, one thousand, sixteen".