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13212123101 is a prime number
BaseRepresentation
bin11000100111000000…
…01111111111011101
31021002202221101122122
430103200033333131
5204024300414401
610023005352325
7645260123222
oct142340177735
937082841578
1013212123101
11566a998701
1226888686a5
131327312028
148d49c5949
15524da321b
hex31380ffdd

13212123101 has 2 divisors, whose sum is σ = 13212123102. Its totient is φ = 13212123100.

The previous prime is 13212123077. The next prime is 13212123107. The reversal of 13212123101 is 10132121231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9016452025 + 4195671076 = 94955^2 + 64774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13212123101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13212123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13212123107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606061550 + 6606061551.

It is an arithmetic number, because the mean of its divisors is an integer number (6606061551).

Almost surely, 213212123101 is an apocalyptic number.

It is an amenable number.

13212123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212123101 is an equidigital number, since it uses as much as digits as its factorization.

13212123101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13212123101 its reverse (10132121231), we get a palindrome (23344244332).

The spelling of 13212123101 in words is "thirteen billion, two hundred twelve million, one hundred twenty-three thousand, one hundred one".