13130400 has 72 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3500800.

The previous prime is 13130399. The next prime is 13130407. The reversal of 13130400 is 403131.

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

It is not an unprimeable number, because it can be changed into a prime (13130407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336 + ... + 5135.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^13130400 is an apocalyptic number.

13130400 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 13130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

13130400 is an abundant number, since it is smaller than the sum of its proper divisors (29616864).

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

13130400 is a wasteful number, since it uses less digits than its factorization.

13130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5481 counting only the distinct ones).

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

The square root of 13130400 is about 3623.5893807108. The cubic root of 13130400 is about 235.9170444819.

Adding to 13130400 its reverse (403131), we get a palindrome (13533531).

It can be divided in two parts, 13130 and 400, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 13130400 in words is "thirteen million, one hundred thirty thousand, four hundred".