13213032120 has 128 divisors (see below), whose sum is σ = 44647041600. Its totient is φ = 3475187712.

The previous prime is 13213032073. The next prime is 13213032143. The reversal of 13213032120 is 2123031231.

13213032120 is a `hidden beast` number, since 1 + 321 + 3 + 0 + 321 + 20 = 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 = 13213032093 and 13213032102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4957 + ... + 162636.

Almost surely, 2^13213032120 is an apocalyptic number.

13213032120 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 13213032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323520800).

13213032120 is an abundant number, since it is smaller than the sum of its proper divisors (31434009480).

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

13213032120 is a wasteful number, since it uses less digits than its factorization.

13213032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167686 (or 167676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13213032120 its reverse (2123031231), we get a palindrome (15336063351).

The spelling of 13213032120 in words is "thirteen billion, two hundred thirteen million, thirty-two thousand, one hundred twenty".