13033000344 has 128 divisors (see below), whose sum is σ = 40165655040. Its totient is φ = 3431780352.

The previous prime is 13033000271. The next prime is 13033000369. The reversal of 13033000344 is 44300033031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13033000344.

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, 1465399 + ... + 1474265.

It is an arithmetic number, because the mean of its divisors is an integer number (313794180).

Almost surely, 2^13033000344 is an apocalyptic number.

13033000344 is a gapful number since it is divisible by the number (14) 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 13033000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082827520).

13033000344 is an abundant number, since it is smaller than the sum of its proper divisors (27132654696).

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

13033000344 is a wasteful number, since it uses less digits than its factorization.

13033000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13033000344 its reverse (44300033031), we get a palindrome (57333033375).

The spelling of 13033000344 in words is "thirteen billion, thirty-three million, three hundred forty-four", and thus it is an aban number.