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131110101037 is a prime number
BaseRepresentation
bin111101000011011000…
…1010110000000101101
3110112102021210012222001
41322012301112000231
54122003141213122
6140121532252301
712321013320346
oct1720661260055
9415367705861
10131110101037
1150670263503
12214b0611091
13c495b81056
1464baab70cd
153625542527
hex1e86c5602d

131110101037 has 2 divisors, whose sum is σ = 131110101038. Its totient is φ = 131110101036.

The previous prime is 131110100941. The next prime is 131110101061. The reversal of 131110101037 is 730101011131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79332918921 + 51777182116 = 281661^2 + 227546^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131110101037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131110101337) 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, 65555050518 + 65555050519.

It is an arithmetic number, because the mean of its divisors is an integer number (65555050519).

Almost surely, 2131110101037 is an apocalyptic number.

It is an amenable number.

131110101037 is a deficient number, since it is larger than the sum of its proper divisors (1).

131110101037 is an equidigital number, since it uses as much as digits as its factorization.

131110101037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 131110101037 its reverse (730101011131), we get a palindrome (861211112168).

The spelling of 131110101037 in words is "one hundred thirty-one billion, one hundred ten million, one hundred one thousand, thirty-seven".