13130820 has 36 divisors (see below), whose sum is σ = 39830700. Its totient is φ = 3501504.

The previous prime is 13130807. The next prime is 13130837. The reversal of 13130820 is 2803131.

It can be written as a sum of positive squares in 2 ways, for example, as 10227204 + 2903616 = 3198^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13130793 and 13130802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36295 + ... + 36654.

Almost surely, 2^13130820 is an apocalyptic number.

13130820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130820 is an abundant number, since it is smaller than the sum of its proper divisors (26699880).

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

13130820 is a wasteful number, since it uses less digits than its factorization.

13130820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72964 (or 72959 counting only the distinct ones).

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

The square root of 13130820 is about 3623.6473338337. The cubic root of 13130820 is about 235.9195598686.

Adding to 13130820 its reverse (2803131), we get a palindrome (15933951).

It can be divided in two parts, 131308 and 20, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 13130820 in words is "thirteen million, one hundred thirty thousand, eight hundred twenty".