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131211323101 is a prime number
BaseRepresentation
bin111101000110011001…
…1011110011011011101
3110112200100020211112101
41322030303132123131
54122210044314401
6140135550005101
712323352562405
oct1721463363335
9415610224471
10131211323101
115071240a101
122151a4a6791
13c4b0b31b71
1464ca305805
15362e389101
hex1e8ccde6dd

131211323101 has 2 divisors, whose sum is σ = 131211323102. Its totient is φ = 131211323100.

The previous prime is 131211323053. The next prime is 131211323167. The reversal of 131211323101 is 101323112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115114311225 + 16097011876 = 339285^2 + 126874^2 .

It is an emirp because it is prime and its reverse (101323112131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131211323101 - 29 = 131211322589 is a prime.

It is a super-2 number, since 2×1312113231012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131211323401) 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, 65605661550 + 65605661551.

It is an arithmetic number, because the mean of its divisors is an integer number (65605661551).

Almost surely, 2131211323101 is an apocalyptic number.

It is an amenable number.

131211323101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131211323101 is an equidigital number, since it uses as much as digits as its factorization.

131211323101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 131211323101 its reverse (101323112131), we get a palindrome (232534435232).

The spelling of 131211323101 in words is "one hundred thirty-one billion, two hundred eleven million, three hundred twenty-three thousand, one hundred one".