13213782072 has 192 divisors, whose sum is σ = 39390624000. Its totient is φ = 4140854784.

The previous prime is 13213782059. The next prime is 13213782077. The reversal of 13213782072 is 27028731231.

It is a super-2 number, since 2×13213782072² (a number of 21 digits) contains 22 as substring.

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 (13213782077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2635504 + ... + 2640512.

It is an arithmetic number, because the mean of its divisors is an integer number (205159500).

Almost surely, 2^13213782072 is an apocalyptic number.

13213782072 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 13213782072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19695312000).

13213782072 is an abundant number, since it is smaller than the sum of its proper divisors (26176841928).

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

13213782072 is a wasteful number, since it uses less digits than its factorization.

13213782072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13213782072 in words is "thirteen billion, two hundred thirteen million, seven hundred eighty-two thousand, seventy-two".