13001110122000 has 960 divisors, whose sum is σ = 57283414126848. Its totient is φ = 2493711360000.

The previous prime is 13001110121981. The next prime is 13001110122047. The reversal of 13001110122000 is 22101110031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41887380 + ... + 42196620.

Almost surely, 2^{13001110122000} is an apocalyptic number.

13001110122000 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 13001110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641707063424).

13001110122000 is an abundant number, since it is smaller than the sum of its proper divisors (44282304004848).

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

13001110122000 is a wasteful number, since it uses less digits than its factorization.

13001110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309305 (or 309282 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13001110122000 its reverse (22101110031), we get a palindrome (13023211232031).

The spelling of 13001110122000 in words is "thirteen trillion, one billion, one hundred ten million, one hundred twenty-two thousand".