13003022016 has 140 divisors (see below), whose sum is σ = 40812662088. Its totient is φ = 4079351808.

The previous prime is 13003021991. The next prime is 13003022041. The reversal of 13003022016 is 61022030031.

It is an interprime number because it is at equal distance from previous prime (13003021991) and next prime (13003022041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13003022016.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14355 + ... + 161901.

Almost surely, 2^13003022016 is an apocalyptic number.

13003022016 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 13003022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20406331044).

13003022016 is an abundant number, since it is smaller than the sum of its proper divisors (27809640072).

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

13003022016 is a wasteful number, since it uses less digits than its factorization.

13003022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147588 (or 147569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13003022016 its reverse (61022030031), we get a palindrome (74025052047).

The spelling of 13003022016 in words is "thirteen billion, three million, twenty-two thousand, sixteen".