21013310004120 has 384 divisors, whose sum is σ = 79398221760000. Its totient is φ = 4720093378560.

The previous prime is 21013310004119. The next prime is 21013310004163. The reversal of 21013310004120 is 2140001331012.

21013310004120 is a `hidden beast` number, since 21 + 0 + 133 + 100 + 0 + 412 + 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 = 21013310004093 and 21013310004102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490473900 + ... + 490516740.

It is an arithmetic number, because the mean of its divisors is an integer number (206766202500).

Almost surely, 2^{21013310004120} is an apocalyptic number.

21013310004120 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 21013310004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39699110880000).

21013310004120 is an abundant number, since it is smaller than the sum of its proper divisors (58384911755880).

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

21013310004120 is a wasteful number, since it uses less digits than its factorization.

21013310004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46223 (or 46216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21013310004120 its reverse (2140001331012), we get a palindrome (23153311335132).

The spelling of 21013310004120 in words is "twenty-one trillion, thirteen billion, three hundred ten million, four thousand, one hundred twenty".