13319049051000 has 1024 divisors, whose sum is σ = 57618542592000. Its totient is φ = 2765067840000.

The previous prime is 13319049050987. The next prime is 13319049051001. The reversal of 13319049051000 is 15094091331.

13319049051000 is a `hidden beast` number, since 1 + 3 + 31 + 90 + 490 + 51 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13319049051001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3033258805 + ... + 3033263195.

It is an arithmetic number, because the mean of its divisors is an integer number (56268108000).

Almost surely, 2^{13319049051000} is an apocalyptic number.

13319049051000 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 13319049051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28809271296000).

13319049051000 is an abundant number, since it is smaller than the sum of its proper divisors (44299493541000).

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

13319049051000 is a wasteful number, since it uses less digits than its factorization.

13319049051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13319049051000 in words is "thirteen trillion, three hundred nineteen billion, forty-nine million, fifty-one thousand".