13002000 has 160 divisors (see below), whose sum is σ = 45961344. Its totient is φ = 3136000.

The previous prime is 13001993. The next prime is 13002019. The reversal of 13002000 is 20031.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13002000.

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, 65902 + ... + 66098.

Almost surely, 2^13002000 is an apocalyptic number.

13002000 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 13002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

13002000 is an abundant number, since it is smaller than the sum of its proper divisors (32959344).

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

13002000 is a wasteful number, since it uses less digits than its factorization.

13002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 13002000 is about 3605.8286148956. The cubic root of 13002000 is about 235.1455262804.

Adding to 13002000 its reverse (20031), we get a palindrome (13022031).

The spelling of 13002000 in words is "thirteen million, two thousand".