13311330123000 has 3072 divisors, whose sum is σ = 57362021683200. Its totient is φ = 2505041510400.

The previous prime is 13311330122999. The next prime is 13311330123019. The reversal of 13311330123000 is 32103311331.

13311330123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 149565506956 + ... + 149565507044.

It is an arithmetic number, because the mean of its divisors is an integer number (18672533100).

Almost surely, 2^{13311330123000} is an apocalyptic number.

13311330123000 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 13311330123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28681010841600).

13311330123000 is an abundant number, since it is smaller than the sum of its proper divisors (44050691560200).

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

13311330123000 is a wasteful number, since it uses less digits than its factorization.

13311330123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13311330123000 its reverse (32103311331), we get a palindrome (13343433434331).

The spelling of 13311330123000 in words is "thirteen trillion, three hundred eleven billion, three hundred thirty million, one hundred twenty-three thousand".