13132314 has 48 divisors (see below), whose sum is σ = 31622400. Its totient is φ = 4037904.

The previous prime is 13132309. The next prime is 13132321. The reversal of 13132314 is 41323131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8407 + ... + 9845.

It is an arithmetic number, because the mean of its divisors is an integer number (658800).

Almost surely, 2^13132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811200).

13132314 is an abundant number, since it is smaller than the sum of its proper divisors (18490086).

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

13132314 is a wasteful number, since it uses less digits than its factorization.

13132314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1457 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13132314 is about 3623.8534738590. The cubic root of 13132314 is about 235.9285070239.

Adding to 13132314 its reverse (41323131), we get a palindrome (54455445).

The spelling of 13132314 in words is "thirteen million, one hundred thirty-two thousand, three hundred fourteen".