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131131111333 is a prime number
BaseRepresentation
bin111101000100000000…
…1011111011110100101
3110112110202022122200011
41322020001133132211
54122024031030313
6140124002450221
712321360025015
oct1721001373645
9415422278604
10131131111333
1150681103892
12214b7663971
13c49a329291
1464bd7c5c45
1536272e293d
hex1e8805f7a5

131131111333 has 2 divisors, whose sum is σ = 131131111334. Its totient is φ = 131131111332.

The previous prime is 131131111313. The next prime is 131131111421. The reversal of 131131111333 is 333111131131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97767531684 + 33363579649 = 312678^2 + 182657^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131131111333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131131111313) 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, 65565555666 + 65565555667.

It is an arithmetic number, because the mean of its divisors is an integer number (65565555667).

Almost surely, 2131131111333 is an apocalyptic number.

It is an amenable number.

131131111333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131131111333 is an equidigital number, since it uses as much as digits as its factorization.

131131111333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 22.

Adding to 131131111333 its reverse (333111131131), we get a palindrome (464242242464).

The spelling of 131131111333 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred thirty-three".