13021782912 has 256 divisors, whose sum is σ = 39273998400. Its totient is φ = 4299816960.

The previous prime is 13021782887. The next prime is 13021782919. The reversal of 13021782912 is 21928712031.

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 (13021782919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50668288 + ... + 50668544.

Almost surely, 2^13021782912 is an apocalyptic number.

13021782912 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 13021782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636999200).

13021782912 is an abundant number, since it is smaller than the sum of its proper divisors (26252215488).

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

13021782912 is an frugal number, since it uses more digits than its factorization.

13021782912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13021782912 in words is "thirteen billion, twenty-one million, seven hundred eighty-two thousand, nine hundred twelve".