13033032000 has 224 divisors, whose sum is σ = 43167970560. Its totient is φ = 3464755200.

The previous prime is 13033031993. The next prime is 13033032017. The reversal of 13033032000 is 23033031.

It is a super-2 number, since 2×13033032000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10535382 + ... + 10536618.

Almost surely, 2^13033032000 is an apocalyptic number.

13033032000 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 13033032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583985280).

13033032000 is an abundant number, since it is smaller than the sum of its proper divisors (30134938560).

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

13033032000 is a wasteful number, since it uses less digits than its factorization.

13033032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 13033032000 its reverse (23033031), we get a palindrome (13056065031).

It can be divided in two parts, 1303 and 3032000, that added together give a palindrome (3033303).

The spelling of 13033032000 in words is "thirteen billion, thirty-three million, thirty-two thousand".