21000310301322 has 288 divisors, whose sum is σ = 53815136867856. Its totient is φ = 5892897669120.

The previous prime is 21000310301309. The next prime is 21000310301387. The reversal of 21000310301322 is 22310301300012.

21000310301322 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 0 + 310 + 30 + 1 + 322 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6261460248681 + 14738850052641 = 2502291^2 + 3839121^2 .

It is a super-3 number, since 3×21000310301322³ (a number of 41 digits) contains 333 as substring.

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 = 21000310301295 and 21000310301304.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 573181188 + ... + 573217824.

Almost surely, 2^{21000310301322} is an apocalyptic number.

21000310301322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000310301322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26907568433928).

21000310301322 is an abundant number, since it is smaller than the sum of its proper divisors (32814826566534).

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

21000310301322 is a wasteful number, since it uses less digits than its factorization.

21000310301322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36934 (or 36920 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21000310301322 its reverse (22310301300012), we get a palindrome (43310611601334).

The spelling of 21000310301322 in words is "twenty-one trillion, three hundred ten million, three hundred one thousand, three hundred twenty-two".