13101330330000 has 1200 divisors, whose sum is σ = 53089902493056. Its totient is φ = 2979809280000.

The previous prime is 13101330329999. The next prime is 13101330330013. The reversal of 13101330330000 is 3303310131.

13101330330000 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 330 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6277588957 + ... + 6277591043.

Almost surely, 2^{13101330330000} is an apocalyptic number.

13101330330000 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 13101330330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544951246528).

13101330330000 is an abundant number, since it is smaller than the sum of its proper divisors (39988572163056).

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

13101330330000 is a wasteful number, since it uses less digits than its factorization.

13101330330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13101330330000 its reverse (3303310131), we get a palindrome (13104633640131).

The spelling of 13101330330000 in words is "thirteen trillion, one hundred one billion, three hundred thirty million, three hundred thirty thousand".