13112330110000 has 200 divisors, whose sum is σ = 34641032171328. Its totient is φ = 4766916000000.

The previous prime is 13112330109997. The next prime is 13112330110021. The reversal of 13112330110000 is 1103321131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×13112330110000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 515997295 + ... + 516022705.

Almost surely, 2^{13112330110000} is an apocalyptic number.

13112330110000 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 13112330110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320516085664).

13112330110000 is an abundant number, since it is smaller than the sum of its proper divisors (21528702061328).

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

13112330110000 is a wasteful number, since it uses less digits than its factorization.

13112330110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30141 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13112330110000 its reverse (1103321131), we get a palindrome (13113433431131).

The spelling of 13112330110000 in words is "thirteen trillion, one hundred twelve billion, three hundred thirty million, one hundred ten thousand".