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131211220201 is a prime number
BaseRepresentation
bin111101000110011001…
…1000101010011101001
3110112200100001121101021
41322030303011103221
54122210033021301
6140135543452441
712323351653405
oct1721463052351
9415610047337
10131211220201
1150712349866
122151a457121
13c4b0ac7089
1464ca2ba105
15362e3688a1
hex1e8ccc54e9

131211220201 has 2 divisors, whose sum is σ = 131211220202. Its totient is φ = 131211220200.

The previous prime is 131211220199. The next prime is 131211220213. The reversal of 131211220201 is 102022112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130324610025 + 886610176 = 361005^2 + 29776^2 .

It is a cyclic number.

It is not a de Polignac number, because 131211220201 - 21 = 131211220199 is a prime.

Together with 131211220199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131211220291) 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, 65605610100 + 65605610101.

It is an arithmetic number, because the mean of its divisors is an integer number (65605610101).

Almost surely, 2131211220201 is an apocalyptic number.

It is an amenable number.

131211220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

131211220201 is an equidigital number, since it uses as much as digits as its factorization.

131211220201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131211220201 its reverse (102022112131), we get a palindrome (233233332332).

The spelling of 131211220201 in words is "one hundred thirty-one billion, two hundred eleven million, two hundred twenty thousand, two hundred one".