13331010000000 has 2048 divisors, whose sum is σ = 57374853120000. Its totient is φ = 2661120000000.

The previous prime is 13331009999929. The next prime is 13331010000023. The reversal of 13331010000000 is 1013331.

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 255 ways as a sum of consecutive naturals, for example, 66989999901 + ... + 66990000099.

It is an arithmetic number, because the mean of its divisors is an integer number (28015065000).

Almost surely, 2^{13331010000000} is an apocalyptic number.

13331010000000 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 13331010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687426560000).

13331010000000 is an abundant number, since it is smaller than the sum of its proper divisors (44043843120000).

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

13331010000000 is an frugal number, since it uses more digits than its factorization.

13331010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13331010000000 its reverse (1013331), we get a palindrome (13331011013331).

The spelling of 13331010000000 in words is "thirteen trillion, three hundred thirty-one billion, ten million", and thus it is an aban number.