13011072 has 64 divisors (see below), whose sum is σ = 35708160. Its totient is φ = 4193280.

The previous prime is 13011071. The next prime is 13011073. The reversal of 13011072 is 27011031.

It is an interprime number because it is at equal distance from previous prime (13011071) and next prime (13011073).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11358 + ... + 12450.

It is an arithmetic number, because the mean of its divisors is an integer number (557940).

Almost surely, 2^13011072 is an apocalyptic number.

13011072 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 13011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854080).

13011072 is an abundant number, since it is smaller than the sum of its proper divisors (22697088).

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

13011072 is a wasteful number, since it uses less digits than its factorization.

13011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 13011072 is about 3607.0863588220. The cubic root of 13011072 is about 235.2002036187.

The spelling of 13011072 in words is "thirteen million, eleven thousand, seventy-two".