13201920 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3502080.

The previous prime is 13201919. The next prime is 13201943. The reversal of 13201920 is 2910231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13201893 and 13201902.

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, 69025 + ... + 69215.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^13201920 is an apocalyptic number.

13201920 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 13201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

13201920 is an abundant number, since it is smaller than the sum of its proper divisors (33937920).

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

13201920 is an equidigital number, since it uses as much as digits as its factorization.

13201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13201920 is about 3633.4446466129. Note that the first 3 decimals coincide. The cubic root of 13201920 is about 236.3446081150.

It can be divided in two parts, 1320 and 1920, that added together give a triangular number (3240 = T₈₀).

The spelling of 13201920 in words is "thirteen million, two hundred one thousand, nine hundred twenty".