13001312110000 has 200 divisors, whose sum is σ = 31579739486064. Its totient is φ = 5183662080000.

The previous prime is 13001312109997. The next prime is 13001312110063. The reversal of 13001312110000 is 1121310031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4893228672 + ... + 4893231328.

Almost surely, 2^{13001312110000} is an apocalyptic number.

13001312110000 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 13001312110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789869743032).

13001312110000 is an abundant number, since it is smaller than the sum of its proper divisors (18578427376064).

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

13001312110000 is an equidigital number, since it uses as much as digits as its factorization.

13001312110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13001312110000 its reverse (1121310031), we get a palindrome (13002433420031).

The spelling of 13001312110000 in words is "thirteen trillion, one billion, three hundred twelve million, one hundred ten thousand".