13568130 has 48 divisors (see below), whose sum is σ = 36147384. Its totient is φ = 3528960.

The previous prime is 13568123. The next prime is 13568131. The reversal of 13568130 is 3186531.

It can be written as a sum of positive squares in 4 ways, for example, as 9418761 + 4149369 = 3069^2 + 2037^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13568094 and 13568103.

It is not an unprimeable number, because it can be changed into a prime (13568131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852 + ... + 5528.

Almost surely, 2^13568130 is an apocalyptic number.

13568130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13568130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073692).

13568130 is an abundant number, since it is smaller than the sum of its proper divisors (22579254).

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

13568130 is a wasteful number, since it uses less digits than its factorization.

13568130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13568130 is about 3683.4942649609. The cubic root of 13568130 is about 238.5100400557.

It can be divided in two parts, 135 and 68130, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 13568130 in words is "thirteen million, five hundred sixty-eight thousand, one hundred thirty".