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131322101 is a prime number
BaseRepresentation
bin1111101001111…
…01000011110101
3100011002212001112
413310331003311
5232104301401
621010404405
73153135161
oct764750365
9304085045
10131322101
1168145269
1237b90705
132128c4b1
1413625ca1
15b7e03bb
hex7d3d0f5

131322101 has 2 divisors, whose sum is σ = 131322102. Its totient is φ = 131322100.

The previous prime is 131322083. The next prime is 131322131. The reversal of 131322101 is 101223131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78411025 + 52911076 = 8855^2 + 7274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131322101 is a prime.

It is a super-2 number, since 2×1313221012 = 34490988422108402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131322131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661050 + 65661051.

It is an arithmetic number, because the mean of its divisors is an integer number (65661051).

Almost surely, 2131322101 is an apocalyptic number.

It is an amenable number.

131322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131322101 is an equidigital number, since it uses as much as digits as its factorization.

131322101 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 14.

The square root of 131322101 is about 11459.5855509700. The cubic root of 131322101 is about 508.2912193962.

Adding to 131322101 its reverse (101223131), we get a palindrome (232545232).

The spelling of 131322101 in words is "one hundred thirty-one million, three hundred twenty-two thousand, one hundred one".