13071354912 has 672 divisors, whose sum is σ = 50768363520. Its totient is φ = 3208066560.

The previous prime is 13071354899. The next prime is 13071354913. The reversal of 13071354912 is 21945317031.

13071354912 is a `hidden beast` number, since 1 + 30 + 7 + 135 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13071354913) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34128673 + ... + 34129055.

It is an arithmetic number, because the mean of its divisors is an integer number (75548160).

Almost surely, 2^13071354912 is an apocalyptic number.

13071354912 is a gapful number since it is divisible by the number (12) 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 13071354912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384181760).

13071354912 is an abundant number, since it is smaller than the sum of its proper divisors (37697008608).

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

13071354912 is a wasteful number, since it uses less digits than its factorization.

13071354912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13071354912 in words is "thirteen billion, seventy-one million, three hundred fifty-four thousand, nine hundred twelve".