13013730 has 64 divisors (see below), whose sum is σ = 35038080. Its totient is φ = 3436992.

The previous prime is 13013717. The next prime is 13013731. The reversal of 13013730 is 3731031.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13013731) 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 31 ways as a sum of consecutive naturals, for example, 42237 + ... + 42543.

It is an arithmetic number, because the mean of its divisors is an integer number (547470).

Almost surely, 2^13013730 is an apocalyptic number.

13013730 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 13013730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519040).

13013730 is an abundant number, since it is smaller than the sum of its proper divisors (22024350).

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

13013730 is a wasteful number, since it uses less digits than its factorization.

13013730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 13013730 is about 3607.4547814214. The cubic root of 13013730 is about 235.2162186858.

Adding to 13013730 its reverse (3731031), we get a palindrome (16744761).

The spelling of 13013730 in words is "thirteen million, thirteen thousand, seven hundred thirty".