13112310330000 has 1200 divisors, whose sum is σ = 53734939315200. Its totient is φ = 2982599424000.

The previous prime is 13112310329999. The next prime is 13112310330083. The reversal of 13112310330000 is 3301321131.

It is a happy number.

13112310330000 is a `hidden beast` number, since 1 + 311 + 23 + 1 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7192709089 + ... + 7192710911.

It is an arithmetic number, because the mean of its divisors is an integer number (44779116096).

Almost surely, 2^{13112310330000} is an apocalyptic number.

13112310330000 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 13112310330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867469657600).

13112310330000 is an abundant number, since it is smaller than the sum of its proper divisors (40622628985200).

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

13112310330000 is a wasteful number, since it uses less digits than its factorization.

13112310330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13112310330000 its reverse (3301321131), we get a palindrome (13115611651131).

The spelling of 13112310330000 in words is "thirteen trillion, one hundred twelve billion, three hundred ten million, three hundred thirty thousand".