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13212232223101 is a prime number
BaseRepresentation
bin1100000001000011011001…
…1010001000100101111101
31201210002002011212112022221
43000100312122020211331
53212432122422114401
644033340553405341
72532360300624412
oct300206632104575
951702064775287
1013212232223101
11423430471418a
121594751a09851
1374aba6299212
143396928d4109
1517da3194d7a1
hexc043668897d

13212232223101 has 2 divisors, whose sum is σ = 13212232223102. Its totient is φ = 13212232223100.

The previous prime is 13212232223083. The next prime is 13212232223119. The reversal of 13212232223101 is 10132223221231.

It is a balanced prime because it is at equal distance from previous prime (13212232223083) and next prime (13212232223119).

It can be written as a sum of positive squares in only one way, i.e., 8419311576025 + 4792920647076 = 2901605^2 + 2189274^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212232223101 - 221 = 13212230125949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13212232223501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606116111550 + 6606116111551.

It is an arithmetic number, because the mean of its divisors is an integer number (6606116111551).

Almost surely, 213212232223101 is an apocalyptic number.

It is an amenable number.

13212232223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212232223101 is an equidigital number, since it uses as much as digits as its factorization.

13212232223101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13212232223101 its reverse (10132223221231), we get a palindrome (23344455444332).

The spelling of 13212232223101 in words is "thirteen trillion, two hundred twelve billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred one".