13298315940000 has 2880 divisors, whose sum is σ = 60957368398080. Its totient is φ = 2794881024000.

The previous prime is 13298315939941. The next prime is 13298315940001. The reversal of 13298315940000 is 4951389231.

It is a happy number.

13298315940000 is a `hidden beast` number, since 1 + 3 + 2 + 98 + 3 + 159 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13298315940001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 51744419872 + ... + 51744420128.

It is an arithmetic number, because the mean of its divisors is an integer number (21165752916).

Almost surely, 2^{13298315940000} is an apocalyptic number.

13298315940000 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 13298315940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30478684199040).

13298315940000 is an abundant number, since it is smaller than the sum of its proper divisors (47659052458080).

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

13298315940000 is an frugal number, since it uses more digits than its factorization.

13298315940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13298315940000 in words is "thirteen trillion, two hundred ninety-eight billion, three hundred fifteen million, nine hundred forty thousand".