13013123112000 has 1344 divisors, whose sum is σ = 51500634022656. Its totient is φ = 3136320000000.

The previous prime is 13013123111983. The next prime is 13013123112013. The reversal of 13013123112000 is 21132131031.

13013123112000 is a `hidden beast` number, since 1 + 301 + 31 + 2 + 311 + 20 + 0 + 0 = 666.

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

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, 24053831730 + ... + 24053832270.

It is an arithmetic number, because the mean of its divisors is an integer number (38318924124).

Almost surely, 2^{13013123112000} is an apocalyptic number.

13013123112000 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 13013123112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750317011328).

13013123112000 is an abundant number, since it is smaller than the sum of its proper divisors (38487510910656).

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

13013123112000 is a wasteful number, since it uses less digits than its factorization.

13013123112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 813 counting only the distinct ones).

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

Adding to 13013123112000 its reverse (21132131031), we get a palindrome (13034255243031).

The spelling of 13013123112000 in words is "thirteen trillion, thirteen billion, one hundred twenty-three million, one hundred twelve thousand".