13113012110000 has 400 divisors, whose sum is σ = 35482138581120. Its totient is φ = 4651879680000.

The previous prime is 13113012109913. The next prime is 13113012110047. The reversal of 13113012110000 is 1121031131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 7610569139 + ... + 7610570861.

Almost surely, 2^{13113012110000} is an apocalyptic number.

13113012110000 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 13113012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741069290560).

13113012110000 is an abundant number, since it is smaller than the sum of its proper divisors (22369126471120).

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

13113012110000 is a wasteful number, since it uses less digits than its factorization.

13113012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13113012110000 its reverse (1121031131), we get a palindrome (13114133141131).

The spelling of 13113012110000 in words is "thirteen trillion, one hundred thirteen billion, twelve million, one hundred ten thousand".