13018920 has 128 divisors (see below), whose sum is σ = 41990400. Its totient is φ = 3221504.

The previous prime is 13018919. The next prime is 13018921. The reversal of 13018920 is 2981031.

It is an interprime number because it is at equal distance from previous prime (13018919) and next prime (13018921).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13018921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146236 + ... + 146324.

It is an arithmetic number, because the mean of its divisors is an integer number (328050).

Almost surely, 2^13018920 is an apocalyptic number.

13018920 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 13018920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995200).

13018920 is an abundant number, since it is smaller than the sum of its proper divisors (28971480).

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

13018920 is a wasteful number, since it uses less digits than its factorization.

13018920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13018920 is about 3608.1740534514. The cubic root of 13018920 is about 235.2474833559.

Adding to 13018920 its reverse (2981031), we get a palindrome (15999951).

The spelling of 13018920 in words is "thirteen million, eighteen thousand, nine hundred twenty".