21301353315000 has 960 divisors, whose sum is σ = 79462374900480. Its totient is φ = 5110560000000.

The previous prime is 21301353314933. The next prime is 21301353315001. The reversal of 21301353315000 is 51335310312.

21301353315000 is a `hidden beast` number, since 2 + 1 + 301 + 353 + 3 + 1 + 5 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21301353315000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301353315001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38942144727 + ... + 38942145273.

It is an arithmetic number, because the mean of its divisors is an integer number (82773307188).

Almost surely, 2^{21301353315000} is an apocalyptic number.

21301353315000 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 21301353315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39731187450240).

21301353315000 is an abundant number, since it is smaller than the sum of its proper divisors (58161021585480).

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

21301353315000 is a wasteful number, since it uses less digits than its factorization.

21301353315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 21301353315000 its reverse (51335310312), we get a palindrome (21352688625312).

The spelling of 21301353315000 in words is "twenty-one trillion, three hundred one billion, three hundred fifty-three million, three hundred fifteen thousand".