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131310102221 is a prime number
BaseRepresentation
bin111101001001010110…
…0010010011011001101
3110112221020010100000022
41322102230102123031
54122410341232341
6140153435111525
712325662311234
oct1722254223315
9415836110008
10131310102221
1150763147341
12215475a25a5
13c4c8438a4c
1464d9499b1b
153637d9be4b
hex1e92b126cd

131310102221 has 2 divisors, whose sum is σ = 131310102222. Its totient is φ = 131310102220.

The previous prime is 131310102199. The next prime is 131310102229. The reversal of 131310102221 is 122201013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129229465225 + 2080636996 = 359485^2 + 45614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131310102221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131310102221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131310102229) 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, 65655051110 + 65655051111.

It is an arithmetic number, because the mean of its divisors is an integer number (65655051111).

Almost surely, 2131310102221 is an apocalyptic number.

It is an amenable number.

131310102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

131310102221 is an equidigital number, since it uses as much as digits as its factorization.

131310102221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 131310102221 its reverse (122201013131), we get a palindrome (253511115352).

The spelling of 131310102221 in words is "one hundred thirty-one billion, three hundred ten million, one hundred two thousand, two hundred twenty-one".