13083312 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3897600.

The previous prime is 13083307. The next prime is 13083313. The reversal of 13083312 is 21338031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13083313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37314 + ... + 37662.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13083312 is an apocalyptic number.

13083312 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 13083312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13083312 is an abundant number, since it is smaller than the sum of its proper divisors (24414288).

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

13083312 is a wasteful number, since it uses less digits than its factorization.

13083312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13083312 is about 3617.0861200696. The cubic root of 13083312 is about 235.6346928963.

It can be divided in two parts, 1308 and 3312, that multiplied together give a triangular number (4332096 = T₂₉₄₃).

The spelling of 13083312 in words is "thirteen million, eighty-three thousand, three hundred twelve".