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131322101101 is a prime number
BaseRepresentation
bin111101001001101101…
…0000011110101101101
3110112222001200221101021
41322103122003311231
54122421424213401
6140154544214141
712326166304342
oct1722332036555
9415861627337
10131322101101
11507699a2274
122154b60a351
13c4caa7a389
1464dad007c9
153638e6c2a1
hex1e93683d6d

131322101101 has 2 divisors, whose sum is σ = 131322101102. Its totient is φ = 131322101100.

The previous prime is 131322101081. The next prime is 131322101107. The reversal of 131322101101 is 101101223131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120402060100 + 10920041001 = 346990^2 + 104499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131322101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131322101107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661050550 + 65661050551.

It is an arithmetic number, because the mean of its divisors is an integer number (65661050551).

Almost surely, 2131322101101 is an apocalyptic number.

It is an amenable number.

131322101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131322101101 is an equidigital number, since it uses as much as digits as its factorization.

131322101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131322101101 its reverse (101101223131), we get a palindrome (232423324232).

The spelling of 131322101101 in words is "one hundred thirty-one billion, three hundred twenty-two million, one hundred one thousand, one hundred one".