13003020 has 144 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3214848.

The previous prime is 13003019. The next prime is 13003037. The reversal of 13003020 is 2030031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13002993 and 13003011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245314 + ... + 245366.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^13003020 is an apocalyptic number.

13003020 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 13003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13003020 is an abundant number, since it is smaller than the sum of its proper divisors (29453940).

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

13003020 is a wasteful number, since it uses less digits than its factorization.

13003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13003020 is about 3605.9700497924. The cubic root of 13003020 is about 235.1516751335.

Adding to 13003020 its reverse (2030031), we get a palindrome (15033051).

The spelling of 13003020 in words is "thirteen million, three thousand, twenty".