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131431340101 is a prime number
BaseRepresentation
bin111101001100111101…
…0110001100001000101
3110120020200020212010011
41322121322301201011
54123132410340401
6140213445430221
712331663646365
oct1723172614105
9416220225104
10131431340101
1150815624136
122158010b371
13c5175a7239
14650b6189a5
153643849451
hex1e99eb1845

131431340101 has 2 divisors, whose sum is σ = 131431340102. Its totient is φ = 131431340100.

The previous prime is 131431339979. The next prime is 131431340129. The reversal of 131431340101 is 101043134131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89559540225 + 41871799876 = 299265^2 + 204626^2 .

It is an emirp because it is prime and its reverse (101043134131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131431340101 - 27 = 131431339973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131431340401) 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, 65715670050 + 65715670051.

It is an arithmetic number, because the mean of its divisors is an integer number (65715670051).

Almost surely, 2131431340101 is an apocalyptic number.

It is an amenable number.

131431340101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131431340101 is an equidigital number, since it uses as much as digits as its factorization.

131431340101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131431340101 its reverse (101043134131), we get a palindrome (232474474232).

The spelling of 131431340101 in words is "one hundred thirty-one billion, four hundred thirty-one million, three hundred forty thousand, one hundred one".