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20021322131221 is a prime number
BaseRepresentation
bin1001000110101100100111…
…10010110010011100010101
32121220000112100210222222111
410203112103302302130111
510111012131431144341
6110325400213231021
74134331012112515
oct443262362623425
977800470728874
1020021322131221
116419aa442a894
1222b4324332471
13b23005874b28
144d3073d85845
1524ac01c14681
hex123593cb2715

20021322131221 has 2 divisors, whose sum is σ = 20021322131222. Its totient is φ = 20021322131220.

The previous prime is 20021322131191. The next prime is 20021322131257. The reversal of 20021322131221 is 12213122312002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17521005356100 + 2500316775121 = 4185810^2 + 1581239^2 .

It is a cyclic number.

It is not a de Polignac number, because 20021322131221 - 231 = 20019174647573 is a prime.

It is a super-3 number, since 3×200213221312213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20021322131192 and 20021322131201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20021322137221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10010661065610 + 10010661065611.

It is an arithmetic number, because the mean of its divisors is an integer number (10010661065611).

Almost surely, 220021322131221 is an apocalyptic number.

It is an amenable number.

20021322131221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20021322131221 is an equidigital number, since it uses as much as digits as its factorization.

20021322131221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20021322131221 its reverse (12213122312002), we get a palindrome (32234444443223).

The spelling of 20021322131221 in words is "twenty trillion, twenty-one billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty-one".