13023120132000 has 864 divisors, whose sum is σ = 52555090245840. Its totient is φ = 3048224256000.

The previous prime is 13023120131993. The next prime is 13023120132137. The reversal of 13023120132000 is 23102132031.

13023120132000 is a `hidden beast` number, since 1 + 30 + 2 + 312 + 0 + 1 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 488886233616 + 12534233898384 = 699204^2 + 3540372^2 .

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 143 ways as a sum of consecutive naturals, for example, 126272454 + ... + 126375546.

Almost surely, 2^{13023120132000} is an apocalyptic number.

13023120132000 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 13023120132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26277545122920).

13023120132000 is an abundant number, since it is smaller than the sum of its proper divisors (39531970113840).

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

13023120132000 is a wasteful number, since it uses less digits than its factorization.

13023120132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103175 (or 103143 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13023120132000 its reverse (23102132031), we get a palindrome (13046222264031).

The spelling of 13023120132000 in words is "thirteen trillion, twenty-three billion, one hundred twenty million, one hundred thirty-two thousand".