13553120 has 48 divisors (see below), whose sum is σ = 36596448. Its totient is φ = 4646400.

The previous prime is 13553101. The next prime is 13553123. The reversal of 13553120 is 2135531.

13553120 = T₃₂₉ + T₃₃₀ + ... + T₄₈₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13553092 and 13553101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4931 + ... + 7170.

It is an arithmetic number, because the mean of its divisors is an integer number (762426).

Almost surely, 2^13553120 is an apocalyptic number.

13553120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13553120 is an abundant number, since it is smaller than the sum of its proper divisors (23043328).

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

13553120 is a wasteful number, since it uses less digits than its factorization.

13553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 13553120 is about 3681.4562336119. The cubic root of 13553120 is about 238.4220555244.

Adding to 13553120 its reverse (2135531), we get a palindrome (15688651).

The spelling of 13553120 in words is "thirteen million, five hundred fifty-three thousand, one hundred twenty".