13088020 has 48 divisors (see below), whose sum is σ = 30735936. Its totient is φ = 4640000.

The previous prime is 13088003. The next prime is 13088051. The reversal of 13088020 is 2088031.

13088020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13087982 and 13088000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8295 + ... + 9745.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 2^13088020 is an apocalyptic number.

13088020 is a gapful number since it is divisible by the number (10) 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 13088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968).

13088020 is an abundant number, since it is smaller than the sum of its proper divisors (17647916).

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

13088020 is a wasteful number, since it uses less digits than its factorization.

13088020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 13088020 is about 3617.7368616305. The cubic root of 13088020 is about 235.6629537091.

The spelling of 13088020 in words is "thirteen million, eighty-eight thousand, twenty".