13130208 has 192 divisors, whose sum is σ = 47416320. Its totient is φ = 3442176.

The previous prime is 13130177. The next prime is 13130231. The reversal of 13130208 is 80203131.

It is a super-3 number, since 3×13130208³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78541 + ... + 78707.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^13130208 is an apocalyptic number.

13130208 is a gapful number since it is divisible by the number (18) 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 13130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

13130208 is an abundant number, since it is smaller than the sum of its proper divisors (34286112).

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

13130208 is a wasteful number, since it uses less digits than its factorization.

13130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13130208 is about 3623.5628875459. The cubic root of 13130208 is about 235.9158945729.

Adding to 13130208 its reverse (80203131), we get a palindrome (93333339).

The spelling of 13130208 in words is "thirteen million, one hundred thirty thousand, two hundred eight".