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2221301131013 is a prime number
BaseRepresentation
bin100000010100101111110…
…111010110011100000101
321212100120021222002220202
4200110233313112130011
5242343211042143023
64420241320140245
7316324625036606
oct40245767263405
97770507862822
102221301131013
11787059640a98
122ba605307685
131316109a0b83
147972398ddad
153cbab533128
hex2052fdd6705

2221301131013 has 2 divisors, whose sum is σ = 2221301131014. Its totient is φ = 2221301131012.

The previous prime is 2221301130931. The next prime is 2221301131039. The reversal of 2221301131013 is 3101311031222.

It is a happy number.

2221301131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1692827381569 + 528473749444 = 1301087^2 + 726962^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221301131013 - 28 = 2221301130757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221301131613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110650565506 + 1110650565507.

It is an arithmetic number, because the mean of its divisors is an integer number (1110650565507).

Almost surely, 22221301131013 is an apocalyptic number.

It is an amenable number.

2221301131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221301131013 is an equidigital number, since it uses as much as digits as its factorization.

2221301131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2221301131013 its reverse (3101311031222), we get a palindrome (5322612162235).

The spelling of 2221301131013 in words is "two trillion, two hundred twenty-one billion, three hundred one million, one hundred thirty-one thousand, thirteen".