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21331033001 is a prime number
BaseRepresentation
bin10011110111011011…
…011011101110101001
32001001121002202021022
4103313123123232221
5322141221024001
613444354022225
71353413534405
oct236733335651
961047082238
1021331033001
1190568a28a3
124173877975
13201c389b25
141064da4105
1584ca3b11b
hex4f76dbba9

21331033001 has 2 divisors, whose sum is σ = 21331033002. Its totient is φ = 21331033000.

The previous prime is 21331032941. The next prime is 21331033007. The reversal of 21331033001 is 10033013312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16815864976 + 4515168025 = 129676^2 + 67195^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331033001 - 26 = 21331032937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21331033007) 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, 10665516500 + 10665516501.

It is an arithmetic number, because the mean of its divisors is an integer number (10665516501).

Almost surely, 221331033001 is an apocalyptic number.

It is an amenable number.

21331033001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21331033001 is an equidigital number, since it uses as much as digits as its factorization.

21331033001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 21331033001 its reverse (10033013312), we get a palindrome (31364046313).

The spelling of 21331033001 in words is "twenty-one billion, three hundred thirty-one million, thirty-three thousand, one".