13701312 has 84 divisors (see below), whose sum is σ = 40773096. Its totient is φ = 4561920.

The previous prime is 13701301. The next prime is 13701319. The reversal of 13701312 is 21310731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13701319) 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 11 ways as a sum of consecutive naturals, for example, 15112 + ... + 15992.

It is an arithmetic number, because the mean of its divisors is an integer number (485394).

Almost surely, 2^13701312 is an apocalyptic number.

13701312 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 13701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386548).

13701312 is an abundant number, since it is smaller than the sum of its proper divisors (27071784).

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

13701312 is an frugal number, since it uses more digits than its factorization.

13701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13701312 is about 3701.5283329998. The cubic root of 13701312 is about 239.2878891654.

The spelling of 13701312 in words is "thirteen million, seven hundred one thousand, three hundred twelve".