13120003120000 has 640 divisors, whose sum is σ = 39419306784000. Its totient is φ = 4247728128000.

The previous prime is 13120003119967. The next prime is 13120003120027. The reversal of 13120003120000 is 2130002131.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3585678171 + ... + 3585681829.

It is an arithmetic number, because the mean of its divisors is an integer number (61592666850).

Almost surely, 2^{13120003120000} is an apocalyptic number.

13120003120000 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 13120003120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19709653392000).

13120003120000 is an abundant number, since it is smaller than the sum of its proper divisors (26299303664000).

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

13120003120000 is an equidigital number, since it uses as much as digits as its factorization.

13120003120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13120003120000 its reverse (2130002131), we get a palindrome (13122133122131).

The spelling of 13120003120000 in words is "thirteen trillion, one hundred twenty billion, three million, one hundred twenty thousand".