21201313011120 has 480 divisors, whose sum is σ = 79921248623424. Its totient is φ = 4991520153600.

The previous prime is 21201313011107. The next prime is 21201313011121. The reversal of 21201313011120 is 2111031310212.

21201313011120 is a `hidden beast` number, since 2 + 120 + 131 + 301 + 112 + 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 = 21201313011093 and 21201313011102.

It is not an unprimeable number, because it can be changed into a prime (21201313011121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 158467774 + ... + 158601506.

Almost surely, 2^{21201313011120} is an apocalyptic number.

21201313011120 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 21201313011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39960624311712).

21201313011120 is an abundant number, since it is smaller than the sum of its proper divisors (58719935612304).

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

21201313011120 is a wasteful number, since it uses less digits than its factorization.

21201313011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134341 (or 134332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21201313011120 its reverse (2111031310212), we get a palindrome (23312344321332).

The spelling of 21201313011120 in words is "twenty-one trillion, two hundred one billion, three hundred thirteen million, eleven thousand, one hundred twenty".