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131212212121 is a prime number
BaseRepresentation
bin111101000110011011…
…0110111011110011001
3110112200101221000001001
41322030312313132121
54122210311241441
6140140021025001
712323363254324
oct1721466673631
9415611830031
10131212212121
1150712967031
122151a855161
13c4b1083703
1464ca4977bb
15362e4b2731
hex1e8cdb7799

131212212121 has 2 divisors, whose sum is σ = 131212212122. Its totient is φ = 131212212120.

The previous prime is 131212211983. The next prime is 131212212149. The reversal of 131212212121 is 121212212131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129736115721 + 1476096400 = 360189^2 + 38420^2 .

It is an emirp because it is prime and its reverse (121212212131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131212212121 - 231 = 129064728473 is a prime.

It is not a weakly prime, because it can be changed into another prime (131212212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65606106060 + 65606106061.

It is an arithmetic number, because the mean of its divisors is an integer number (65606106061).

Almost surely, 2131212212121 is an apocalyptic number.

It is an amenable number.

131212212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131212212121 is an equidigital number, since it uses as much as digits as its factorization.

131212212121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 19.

Adding to 131212212121 its reverse (121212212131), we get a palindrome (252424424252).

The spelling of 131212212121 in words is "one hundred thirty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty-one".