13021000320 has 256 divisors, whose sum is σ = 42615175680. Its totient is φ = 3380183040.

The previous prime is 13021000309. The next prime is 13021000351. The reversal of 13021000320 is 2300012031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13021000296 and 13021000305.

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, 28244890 + ... + 28245350.

It is an arithmetic number, because the mean of its divisors is an integer number (166465530).

Almost surely, 2^13021000320 is an apocalyptic number.

13021000320 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 13021000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307587840).

13021000320 is an abundant number, since it is smaller than the sum of its proper divisors (29594175360).

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

13021000320 is a wasteful number, since it uses less digits than its factorization.

13021000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 831 counting only the distinct ones).

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

Adding to 13021000320 its reverse (2300012031), we get a palindrome (15321012351).

The spelling of 13021000320 in words is "thirteen billion, twenty-one million, three hundred twenty", and thus it is an aban number.