13040313216000 has 1408 divisors, whose sum is σ = 52898301241344. Its totient is φ = 2783497420800.

The previous prime is 13040313215999. The next prime is 13040313216019. The reversal of 13040313216000 is 61231304031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6260350959 + ... + 6260353041.

Almost surely, 2^{13040313216000} is an apocalyptic number.

13040313216000 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 13040313216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449150620672).

13040313216000 is an abundant number, since it is smaller than the sum of its proper divisors (39857988025344).

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

13040313216000 is a wasteful number, since it uses less digits than its factorization.

13040313216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 13040313216000 in words is "thirteen trillion, forty billion, three hundred thirteen million, two hundred sixteen thousand".