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21323331000133 is a prime number
BaseRepresentation
bin1001101100100101110011…
…00100011101011101000101
32210111111020121012120021221
410312102321210131131011
510243330140214001013
6113203445242040341
74330363006644661
oct466227144353505
983444217176257
1021323331000133
1168811a04a6a18
1224847304a90b1
13bb8a20c003a6
1453a0aa2578a1
1526ea071a008d
hex1364b991d745

21323331000133 has 2 divisors, whose sum is σ = 21323331000134. Its totient is φ = 21323331000132.

The previous prime is 21323331000121. The next prime is 21323331000151. The reversal of 21323331000133 is 33100013332312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19828291692609 + 1495039307524 = 4452897^2 + 1222718^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21323331000133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21323331000098 and 21323331000107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21323331000163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10661665500066 + 10661665500067.

It is an arithmetic number, because the mean of its divisors is an integer number (10661665500067).

Almost surely, 221323331000133 is an apocalyptic number.

It is an amenable number.

21323331000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21323331000133 is an equidigital number, since it uses as much as digits as its factorization.

21323331000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 21323331000133 its reverse (33100013332312), we get a palindrome (54423344332445).

The spelling of 21323331000133 in words is "twenty-one trillion, three hundred twenty-three billion, three hundred thirty-one million, one hundred thirty-three", and thus it is an aban number.