13500033120 has 432 divisors, whose sum is σ = 55049340528. Its totient is φ = 3001743360.

The previous prime is 13500033097. The next prime is 13500033133. The reversal of 13500033120 is 2133000531.

13500033120 is a `hidden beast` number, since 1 + 350 + 0 + 0 + 3 + 312 + 0 = 666.

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 = 13500033093 and 13500033102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2608135 + ... + 2613305.

It is an arithmetic number, because the mean of its divisors is an integer number (127429029).

Almost surely, 2^13500033120 is an apocalyptic number.

13500033120 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 13500033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27524670264).

13500033120 is an abundant number, since it is smaller than the sum of its proper divisors (41549307408).

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

13500033120 is a wasteful number, since it uses less digits than its factorization.

13500033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13500033120 its reverse (2133000531), we get a palindrome (15633033651).

The spelling of 13500033120 in words is "thirteen billion, five hundred million, thirty-three thousand, one hundred twenty".