13083120 has 120 divisors (see below), whose sum is σ = 45632496. Its totient is φ = 3483648.

The previous prime is 13083071. The next prime is 13083131. The reversal of 13083120 is 2138031.

13083120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 13083093 and 13083102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19104 + ... + 19776.

Almost surely, 2^13083120 is an apocalyptic number.

13083120 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 13083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816248).

13083120 is an abundant number, since it is smaller than the sum of its proper divisors (32549376).

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

13083120 is an equidigital number, since it uses as much as digits as its factorization.

13083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13083120 is about 3617.0595792715. The cubic root of 13083120 is about 235.6335402299.

It can be divided in two parts, 13083 and 120, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 13083120 in words is "thirteen million, eighty-three thousand, one hundred twenty".