13021032000000 has 560 divisors, whose sum is σ = 43659802397376. Its totient is φ = 3448320000000.

The previous prime is 13021031999947. The next prime is 13021032000017. The reversal of 13021032000000 is 23012031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 13021032000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3623998204 + ... + 3624001796.

Almost surely, 2^{13021032000000} is an apocalyptic number.

13021032000000 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 13021032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829901198688).

13021032000000 is an abundant number, since it is smaller than the sum of its proper divisors (30638770397376).

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

13021032000000 is an frugal number, since it uses more digits than its factorization.

13021032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13021032000000 its reverse (23012031), we get a palindrome (13021055012031).

The spelling of 13021032000000 in words is "thirteen trillion, twenty-one billion, thirty-two million", and thus it is an aban number and an uban number.