13001032000 has 112 divisors (see below), whose sum is σ = 35124298560. Its totient is φ = 4727616000.

The previous prime is 13001031959. The next prime is 13001032019. The reversal of 13001032000 is 23010031.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 15 ways as a sum of consecutive naturals, for example, 14131 + ... + 161869.

Almost surely, 2^13001032000 is an apocalyptic number.

13001032000 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 13001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562149280).

13001032000 is an abundant number, since it is smaller than the sum of its proper divisors (22123266560).

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

13001032000 is a wasteful number, since it uses less digits than its factorization.

13001032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147777 (or 147757 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13001032000 its reverse (23010031), we get a palindrome (13024042031).

The spelling of 13001032000 in words is "thirteen billion, one million, thirty-two thousand".