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131110101337 is a prime number
BaseRepresentation
bin111101000011011000…
…1010110000101011001
3110112102021210020101011
41322012301112011121
54122003141220322
6140121532253521
712321013321255
oct1720661260531
9415367706334
10131110101337
1150670263756
12214b06112a1
13c495b81227
1464baab7265
153625542677
hex1e86c56159

131110101337 has 2 divisors, whose sum is σ = 131110101338. Its totient is φ = 131110101336.

The previous prime is 131110101329. The next prime is 131110101349. The reversal of 131110101337 is 733101011131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115480350976 + 15629750361 = 339824^2 + 125019^2 .

It is an emirp because it is prime and its reverse (733101011131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131110101337 - 23 = 131110101329 is a prime.

It is not a weakly prime, because it can be changed into another prime (131110101307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555050668 + 65555050669.

It is an arithmetic number, because the mean of its divisors is an integer number (65555050669).

Almost surely, 2131110101337 is an apocalyptic number.

It is an amenable number.

131110101337 is a deficient number, since it is larger than the sum of its proper divisors (1).

131110101337 is an equidigital number, since it uses as much as digits as its factorization.

131110101337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 131110101337 its reverse (733101011131), we get a palindrome (864211112468).

The spelling of 131110101337 in words is "one hundred thirty-one billion, one hundred ten million, one hundred one thousand, three hundred thirty-seven".