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13122103121 is a prime number
BaseRepresentation
bin11000011100010001…
…10110011101010001
31020212111112220110022
430032020312131101
5203333224244441
610010032113225
7643115015261
oct141610663521
936774486408
1013122103121
1156240a3326
122662695815
131311783c7a
148c6a717a1
1551c02084b
hex30e236751

13122103121 has 2 divisors, whose sum is σ = 13122103122. Its totient is φ = 13122103120.

The previous prime is 13122103097. The next prime is 13122103153. The reversal of 13122103121 is 12130122131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11759016721 + 1363086400 = 108439^2 + 36920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13122103121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122103121.

It is not a weakly prime, because it can be changed into another prime (13122105121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561051560 + 6561051561.

It is an arithmetic number, because the mean of its divisors is an integer number (6561051561).

Almost surely, 213122103121 is an apocalyptic number.

It is an amenable number.

13122103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122103121 is an equidigital number, since it uses as much as digits as its factorization.

13122103121 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 13122103121 its reverse (12130122131), we get a palindrome (25252225252).

The spelling of 13122103121 in words is "thirteen billion, one hundred twenty-two million, one hundred three thousand, one hundred twenty-one".