13020321000 has 128 divisors (see below), whose sum is σ = 40831464960. Its totient is φ = 3454304000.

The previous prime is 13020320981. The next prime is 13020321019. The reversal of 13020321000 is 12302031.

It is a happy number.

13020321000 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (13020320981) and next prime (13020321019).

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

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, 579985 + ... + 602015.

It is an arithmetic number, because the mean of its divisors is an integer number (318995820).

Almost surely, 2^13020321000 is an apocalyptic number.

13020321000 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 13020321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415732480).

13020321000 is an abundant number, since it is smaller than the sum of its proper divisors (27811143960).

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

13020321000 is a wasteful number, since it uses less digits than its factorization.

13020321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22252 (or 22238 counting only the distinct ones).

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

Adding to 13020321000 its reverse (12302031), we get a palindrome (13032623031).

The spelling of 13020321000 in words is "thirteen billion, twenty million, three hundred twenty-one thousand".