13030032102120 has 1536 divisors, whose sum is σ = 49745404800000. Its totient is φ = 3030136750080.

The previous prime is 13030032102103. The next prime is 13030032102173. The reversal of 13030032102120 is 2120123003031.

13030032102120 is a `hidden beast` number, since 1 + 3 + 0 + 300 + 321 + 0 + 21 + 20 = 666.

It is a super-2 number, since 2×13030032102120² (a number of 27 digits) contains 22 as substring.

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 = 13030032102093 and 13030032102102.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87449879806 + ... + 87449879954.

It is an arithmetic number, because the mean of its divisors is an integer number (32386331250).

Almost surely, 2^{13030032102120} is an apocalyptic number.

13030032102120 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 13030032102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872702400000).

13030032102120 is an abundant number, since it is smaller than the sum of its proper divisors (36715372697880).

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

13030032102120 is a wasteful number, since it uses less digits than its factorization.

13030032102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

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

Adding to 13030032102120 its reverse (2120123003031), we get a palindrome (15150155105151).

The spelling of 13030032102120 in words is "thirteen trillion, thirty billion, thirty-two million, one hundred two thousand, one hundred twenty".