13071920 has 40 divisors (see below), whose sum is σ = 30975696. Its totient is φ = 5128448.

The previous prime is 13071917. The next prime is 13071923. The reversal of 13071920 is 2917031.

13071920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13071917) and next prime (13071923).

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13071923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2699 + ... + 5781.

Almost surely, 2^13071920 is an apocalyptic number.

13071920 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 13071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487848).

13071920 is an abundant number, since it is smaller than the sum of its proper divisors (17903776).

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

13071920 is a wasteful number, since it uses less digits than its factorization.

13071920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 13071920 is about 3615.5110288865. The cubic root of 13071920 is about 235.5662818316.

Adding to 13071920 its reverse (2917031), we get a palindrome (15988951).

The spelling of 13071920 in words is "thirteen million, seventy-one thousand, nine hundred twenty".