13531400 has 48 divisors (see below), whose sum is σ = 32559300. Its totient is φ = 5223680.

The previous prime is 13531391. The next prime is 13531409. The reversal of 13531400 is 413531.

It is an interprime number because it is at equal distance from previous prime (13531391) and next prime (13531409).

It can be written as a sum of positive squares in 6 ways, for example, as 4008004 + 9523396 = 2002^2 + 3086^2 .

It is not an unprimeable number, because it can be changed into a prime (13531409) 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 11 ways as a sum of consecutive naturals, for example, 4634 + ... + 6966.

Almost surely, 2^13531400 is an apocalyptic number.

13531400 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 13531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279650).

13531400 is an abundant number, since it is smaller than the sum of its proper divisors (19027900).

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

13531400 is a wasteful number, since it uses less digits than its factorization.

13531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13531400 is about 3678.5051311640. The cubic root of 13531400 is about 238.2946237141.

Adding to 13531400 its reverse (413531), we get a palindrome (13944931).

It can be divided in two parts, 13531 and 400, that added together give a palindrome (13931).

The spelling of 13531400 in words is "thirteen million, five hundred thirty-one thousand, four hundred".