20301302013120 has 224 divisors, whose sum is σ = 71629437071040. Its totient is φ = 5412852449280.

The previous prime is 20301302013119. The next prime is 20301302013149. The reversal of 20301302013120 is 2131020310302.

20301302013120 is a `hidden beast` number, since 2 + 0 + 301 + 30 + 20 + 1 + 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 = 20301302013093 and 20301302013102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57374664 + ... + 57727416.

Almost surely, 2^{20301302013120} is an apocalyptic number.

20301302013120 is a gapful number since it is divisible by the number (20) 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 20301302013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814718535520).

20301302013120 is an abundant number, since it is smaller than the sum of its proper divisors (51328135057920).

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

20301302013120 is a wasteful number, since it uses less digits than its factorization.

20301302013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359440 (or 359424 counting only the distinct ones).

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

Adding to 20301302013120 its reverse (2131020310302), we get a palindrome (22432322323422).

The spelling of 20301302013120 in words is "twenty trillion, three hundred one billion, three hundred two million, thirteen thousand, one hundred twenty".