13331012000 has 96 divisors (see below), whose sum is σ = 32937048144. Its totient is φ = 5302656000.

The previous prime is 13331011999. The next prime is 13331012011. The reversal of 13331012000 is 21013331.

It can be written as a sum of positive squares in 8 ways, for example, as 1046393104 + 12284618896 = 32348^2 + 110836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714794 + ... + 733206.

Almost surely, 2^13331012000 is an apocalyptic number.

13331012000 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 13331012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468524072).

13331012000 is an abundant number, since it is smaller than the sum of its proper divisors (19606036144).

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

13331012000 is a wasteful number, since it uses less digits than its factorization.

13331012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18619 (or 18601 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13331012000 its reverse (21013331), we get a palindrome (13352025331).

The spelling of 13331012000 in words is "thirteen billion, three hundred thirty-one million, twelve thousand".