13377312 has 120 divisors (see below), whose sum is σ = 42475356. Its totient is φ = 4105728.

The previous prime is 13377293. The next prime is 13377319. The reversal of 13377312 is 21377331.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 156816 = 3636^2 + 396^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13377319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33498 + ... + 33894.

Almost surely, 2^13377312 is an apocalyptic number.

13377312 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 13377312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21237678).

13377312 is an abundant number, since it is smaller than the sum of its proper divisors (29098044).

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

13377312 is a wasteful number, since it uses less digits than its factorization.

13377312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 13377312 is about 3657.5007860560. The cubic root of 13377312 is about 237.3866465539.

It can be divided in two parts, 13377 and 312, that added together give a square (13689 = 117²).

The spelling of 13377312 in words is "thirteen million, three hundred seventy-seven thousand, three hundred twelve".