13301376 has 128 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 3886080.

The previous prime is 13301371. The next prime is 13301377. The reversal of 13301376 is 67310331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13301371) 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, 198495 + ... + 198561.

It is an arithmetic number, because the mean of its divisors is an integer number (312120).

Almost surely, 2^13301376 is an apocalyptic number.

13301376 is a gapful number since it is divisible by the number (16) 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 13301376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

13301376 is an abundant number, since it is smaller than the sum of its proper divisors (26649984).

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

13301376 is a wasteful number, since it uses less digits than its factorization.

13301376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13301376 is about 3647.1051534059. The cubic root of 13301376 is about 236.9366206995.

The spelling of 13301376 in words is "thirteen million, three hundred one thousand, three hundred seventy-six".