13130628 has 72 divisors (see below), whose sum is σ = 36120672. Its totient is φ = 3701376.

The previous prime is 13130587. The next prime is 13130629. The reversal of 13130628 is 82603131.

It is a junction number, because it is equal to n+sod(n) for n = 13130598 and 13130607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130629) 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, 80475 + ... + 80637.

It is an arithmetic number, because the mean of its divisors is an integer number (501676).

Almost surely, 2^13130628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060336).

13130628 is an abundant number, since it is smaller than the sum of its proper divisors (22990044).

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

13130628 is a wasteful number, since it uses less digits than its factorization.

13130628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13130628 is about 3623.6208410925. The cubic root of 13130628 is about 235.9184099842.

Adding to 13130628 its reverse (82603131), we get a palindrome (95733759).

The spelling of 13130628 in words is "thirteen million, one hundred thirty thousand, six hundred twenty-eight".