13301123112000 has 672 divisors, whose sum is σ = 47903685223680. Its totient is φ = 3522944409600.

The previous prime is 13301123111933. The next prime is 13301123112001. The reversal of 13301123112000 is 21132110331.

13301123112000 is a `hidden beast` number, since 1 + 330 + 1 + 1 + 2 + 311 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13301123112001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10084247341 + ... + 10084248659.

Almost surely, 2^{13301123112000} is an apocalyptic number.

13301123112000 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 13301123112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23951842611840).

13301123112000 is an abundant number, since it is smaller than the sum of its proper divisors (34602562111680).

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

13301123112000 is a wasteful number, since it uses less digits than its factorization.

13301123112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13301123112000 its reverse (21132110331), we get a palindrome (13322255222331).

The spelling of 13301123112000 in words is "thirteen trillion, three hundred one billion, one hundred twenty-three million, one hundred twelve thousand".