13082211072 has 288 divisors, whose sum is σ = 44582092800. Its totient is φ = 3706601472.

The previous prime is 13082211053. The next prime is 13082211089. The reversal of 13082211072 is 27011228031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13082211072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6143704 + ... + 6145832.

Almost surely, 2^13082211072 is an apocalyptic number.

13082211072 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 13082211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291046400).

13082211072 is an abundant number, since it is smaller than the sum of its proper divisors (31499881728).

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

13082211072 is a wasteful number, since it uses less digits than its factorization.

13082211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 13082211072 in words is "thirteen billion, eighty-two million, two hundred eleven thousand, seventy-two".