13021303000 has 256 divisors, whose sum is σ = 33803827200. Its totient is φ = 4673894400.

The previous prime is 13021302979. The next prime is 13021303019. The reversal of 13021303000 is 30312031.

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 63 ways as a sum of consecutive naturals, for example, 34356811 + ... + 34357189.

It is an arithmetic number, because the mean of its divisors is an integer number (132046200).

Almost surely, 2^13021303000 is an apocalyptic number.

13021303000 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 13021303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901913600).

13021303000 is an abundant number, since it is smaller than the sum of its proper divisors (20782524200).

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

13021303000 is a wasteful number, since it uses less digits than its factorization.

13021303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13021303000 its reverse (30312031), we get a palindrome (13051615031).

The spelling of 13021303000 in words is "thirteen billion, twenty-one million, three hundred three thousand".