13301400 has 96 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3039360.

The previous prime is 13301381. The next prime is 13301417. The reversal of 13301400 is 410331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617 + ... + 5783.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^13301400 is an apocalyptic number.

13301400 is a gapful number since it is divisible by the number (10) 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 13301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

13301400 is an abundant number, since it is smaller than the sum of its proper divisors (33838440).

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

13301400 is a wasteful number, since it uses less digits than its factorization.

13301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13301400 is about 3647.1084436852. The cubic root of 13301400 is about 236.9367632030.

Adding to 13301400 its reverse (410331), we get a palindrome (13711731).

The spelling of 13301400 in words is "thirteen million, three hundred one thousand, four hundred".