21233104314000 has 320 divisors, whose sum is σ = 72696180360960. Its totient is φ = 5316679065600.

The previous prime is 21233104313999. The next prime is 21233104314001. The reversal of 21233104314000 is 41340133212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21233104313999) and next prime (21233104314001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21233104314001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12057862 + ... + 13706138.

It is an arithmetic number, because the mean of its divisors is an integer number (227175563628).

Almost surely, 2^{21233104314000} is an apocalyptic number.

21233104314000 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 21233104314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36348090180480).

21233104314000 is an abundant number, since it is smaller than the sum of its proper divisors (51463076046960).

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

21233104314000 is a wasteful number, since it uses less digits than its factorization.

21233104314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648435 (or 1648419 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21233104314000 its reverse (41340133212), we get a palindrome (21274444447212).

The spelling of 21233104314000 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred four million, three hundred fourteen thousand".