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213010032123101 is a prime number
BaseRepresentation
bin110000011011101101000011…
…010011000101110011011101
31000221012120010101100020120202
4300123231003103011303131
5210404424021210414401
62033011242521153245
762603316111611423
oct6033550323056335
91027176111306522
10213010032123101
1161965057a78674
121ba8293092b825
1391b19b54a0bc5
143a85a52171113
151995d2e32c06b
hexc1bb434c5cdd

213010032123101 has 2 divisors, whose sum is σ = 213010032123102. Its totient is φ = 213010032123100.

The previous prime is 213010032123071. The next prime is 213010032123107. The reversal of 213010032123101 is 101321230010312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201676211625625 + 11333820497476 = 14201275^2 + 3366574^2 .

It is a cyclic number.

It is not a de Polignac number, because 213010032123101 - 218 = 213010031860957 is a prime.

It is a super-3 number, since 3×2130100321231013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213010032123107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106505016061550 + 106505016061551.

It is an arithmetic number, because the mean of its divisors is an integer number (106505016061551).

Almost surely, 2213010032123101 is an apocalyptic number.

It is an amenable number.

213010032123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213010032123101 is an equidigital number, since it uses as much as digits as its factorization.

213010032123101 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 213010032123101 its reverse (101321230010312), we get a palindrome (314331262133413).

The spelling of 213010032123101 in words is "two hundred thirteen trillion, ten billion, thirty-two million, one hundred twenty-three thousand, one hundred one".