21301000011000 has 192 divisors, whose sum is σ = 73943256329280. Its totient is φ = 5526745862400.

The previous prime is 21301000010993. The next prime is 21301000011001. The reversal of 21301000011000 is 11000010312.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301000011001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31650484 + ... + 32316483.

It is an arithmetic number, because the mean of its divisors is an integer number (385121126715).

Almost surely, 2^{21301000011000} is an apocalyptic number.

21301000011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21301000011000 is an abundant number, since it is smaller than the sum of its proper divisors (52642256318280).

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

21301000011000 is a wasteful number, since it uses less digits than its factorization.

21301000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63967031 (or 63967014 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21301000011000 its reverse (11000010312), we get a palindrome (21312000021312).

The spelling of 21301000011000 in words is "twenty-one trillion, three hundred one billion, eleven thousand".