21322223013000 has 512 divisors, whose sum is σ = 81897475645440. Its totient is φ = 4497648307200.

The previous prime is 21322223012947. The next prime is 21322223013019. The reversal of 21322223013000 is 31032222312.

It is a happy number.

It is a super-2 number, since 2×21322223013000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1595132317 + ... + 1595145683.

It is an arithmetic number, because the mean of its divisors is an integer number (159956007120).

Almost surely, 2^{21322223013000} is an apocalyptic number.

21322223013000 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 21322223013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40948737822720).

21322223013000 is an abundant number, since it is smaller than the sum of its proper divisors (60575252632440).

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

21322223013000 is a wasteful number, since it uses less digits than its factorization.

21322223013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19254 (or 19240 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21322223013000 its reverse (31032222312), we get a palindrome (21353255235312).

The spelling of 21322223013000 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred twenty-three million, thirteen thousand".